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Finding the Fourth Proportional to 1,061.87, 1,592.78 and 568.13

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Solution

The fourth proportional to 1,061.87, 1,592.78 and 568.13 is: 852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.87 : 1,592.78 = 568.13 : x
  2. Step 2: Convert to fraction form
    1,061.87/1,592.78 = 568.13/x
  3. Step 3: Cross multiply
    1,061.87x = 1,592.78 × 568.13
  4. Step 4: Simplify right side
    1,061.87x = 904,895.30
  5. Step 5: Solve for x
    x = 904,895.30/1,061.87
  6. Step 6: Final answer
    x = 852.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.