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Finding the Fourth Proportional to 786.32, 1,084.76 and 506.42

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Solution

The fourth proportional to 786.32, 1,084.76 and 506.42 is: 698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.32 : 1,084.76 = 506.42 : x
  2. Step 2: Convert to fraction form
    786.32/1,084.76 = 506.42/x
  3. Step 3: Cross multiply
    786.32x = 1,084.76 × 506.42
  4. Step 4: Simplify right side
    786.32x = 549,344.16
  5. Step 5: Solve for x
    x = 549,344.16/786.32
  6. Step 6: Final answer
    x = 698.63

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.