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Finding the Fourth Proportional to 1,141.52, 1,712.56 and 411.18

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Solution

The fourth proportional to 1,141.52, 1,712.56 and 411.18 is: 616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.52 : 1,712.56 = 411.18 : x
  2. Step 2: Convert to fraction form
    1,141.52/1,712.56 = 411.18/x
  3. Step 3: Cross multiply
    1,141.52x = 1,712.56 × 411.18
  4. Step 4: Simplify right side
    1,141.52x = 704,170.42
  5. Step 5: Solve for x
    x = 704,170.42/1,141.52
  6. Step 6: Final answer
    x = 616.87

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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.