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Finding the Fourth Proportional to 727.29, 1,002.68 and 569.31

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Solution

The fourth proportional to 727.29, 1,002.68 and 569.31 is: 784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.29 : 1,002.68 = 569.31 : x
  2. Step 2: Convert to fraction form
    727.29/1,002.68 = 569.31/x
  3. Step 3: Cross multiply
    727.29x = 1,002.68 × 569.31
  4. Step 4: Simplify right side
    727.29x = 570,835.75
  5. Step 5: Solve for x
    x = 570,835.75/727.29
  6. Step 6: Final answer
    x = 784.88

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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.