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Finding the Fourth Proportional to 938.91, 1,295.69 and 524.91

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Solution

The fourth proportional to 938.91, 1,295.69 and 524.91 is: 724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.91 : 1,295.69 = 524.91 : x
  2. Step 2: Convert to fraction form
    938.91/1,295.69 = 524.91/x
  3. Step 3: Cross multiply
    938.91x = 1,295.69 × 524.91
  4. Step 4: Simplify right side
    938.91x = 680,117.09
  5. Step 5: Solve for x
    x = 680,117.09/938.91
  6. Step 6: Final answer
    x = 724.37

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