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Finding the Fourth Proportional to 1,431.69, 2,147.35 and 457.71

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Solution

The fourth proportional to 1,431.69, 2,147.35 and 457.71 is: 686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.69 : 2,147.35 = 457.71 : x
  2. Step 2: Convert to fraction form
    1,431.69/2,147.35 = 457.71/x
  3. Step 3: Cross multiply
    1,431.69x = 2,147.35 × 457.71
  4. Step 4: Simplify right side
    1,431.69x = 982,863.57
  5. Step 5: Solve for x
    x = 982,863.57/1,431.69
  6. Step 6: Final answer
    x = 686.51

Related Problems

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.