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Finding the Fourth Proportional to 1,142.29, 1,711.14 and 525.15

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Solution

The fourth proportional to 1,142.29, 1,711.14 and 525.15 is: 786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.29 : 1,711.14 = 525.15 : x
  2. Step 2: Convert to fraction form
    1,142.29/1,711.14 = 525.15/x
  3. Step 3: Cross multiply
    1,142.29x = 1,711.14 × 525.15
  4. Step 4: Simplify right side
    1,142.29x = 898,596.62
  5. Step 5: Solve for x
    x = 898,596.62/1,142.29
  6. Step 6: Final answer
    x = 786.66

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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.