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Finding the Fourth Proportional to 1,016.91, 1,524.51 and 707.85

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Solution

The fourth proportional to 1,016.91, 1,524.51 and 707.85 is: 1,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.91 : 1,524.51 = 707.85 : x
  2. Step 2: Convert to fraction form
    1,016.91/1,524.51 = 707.85/x
  3. Step 3: Cross multiply
    1,016.91x = 1,524.51 × 707.85
  4. Step 4: Simplify right side
    1,016.91x = 1,079,124.40
  5. Step 5: Solve for x
    x = 1,079,124.40/1,016.91
  6. Step 6: Final answer
    x = 1,061.18

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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.