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Finding the Fourth Proportional to 949.52, 1,310.31 and 524.13

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Solution

The fourth proportional to 949.52, 1,310.31 and 524.13 is: 723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.52 : 1,310.31 = 524.13 : x
  2. Step 2: Convert to fraction form
    949.52/1,310.31 = 524.13/x
  3. Step 3: Cross multiply
    949.52x = 1,310.31 × 524.13
  4. Step 4: Simplify right side
    949.52x = 686,772.78
  5. Step 5: Solve for x
    x = 686,772.78/949.52
  6. Step 6: Final answer
    x = 723.29

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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.