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Finding the Fourth Proportional to 1,008.16, 1,391.10 and 565.96

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Solution

The fourth proportional to 1,008.16, 1,391.10 and 565.96 is: 780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.16 : 1,391.10 = 565.96 : x
  2. Step 2: Convert to fraction form
    1,008.16/1,391.10 = 565.96/x
  3. Step 3: Cross multiply
    1,008.16x = 1,391.10 × 565.96
  4. Step 4: Simplify right side
    1,008.16x = 787,306.96
  5. Step 5: Solve for x
    x = 787,306.96/1,008.16
  6. Step 6: Final answer
    x = 780.93

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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.