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Finding the Fourth Proportional to 938.52, 1,294.84 and 565.36

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Solution

The fourth proportional to 938.52, 1,294.84 and 565.36 is: 780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.52 : 1,294.84 = 565.36 : x
  2. Step 2: Convert to fraction form
    938.52/1,294.84 = 565.36/x
  3. Step 3: Cross multiply
    938.52x = 1,294.84 × 565.36
  4. Step 4: Simplify right side
    938.52x = 732,046.09
  5. Step 5: Solve for x
    x = 732,046.09/938.52
  6. Step 6: Final answer
    x = 780.00

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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.