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Finding the Fourth Proportional to 1,585.41, 2,378.12 and 431.16

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Solution

The fourth proportional to 1,585.41, 2,378.12 and 431.16 is: 646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.41 : 2,378.12 = 431.16 : x
  2. Step 2: Convert to fraction form
    1,585.41/2,378.12 = 431.16/x
  3. Step 3: Cross multiply
    1,585.41x = 2,378.12 × 431.16
  4. Step 4: Simplify right side
    1,585.41x = 1,025,348.06
  5. Step 5: Solve for x
    x = 1,025,348.06/1,585.41
  6. Step 6: Final answer
    x = 646.74

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.