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Finding the Fourth Proportional to 1,141.53, 1,711.87 and 410.91

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Solution

The fourth proportional to 1,141.53, 1,711.87 and 410.91 is: 616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.53 : 1,711.87 = 410.91 : x
  2. Step 2: Convert to fraction form
    1,141.53/1,711.87 = 410.91/x
  3. Step 3: Cross multiply
    1,141.53x = 1,711.87 × 410.91
  4. Step 4: Simplify right side
    1,141.53x = 703,417.05
  5. Step 5: Solve for x
    x = 703,417.05/1,141.53
  6. Step 6: Final answer
    x = 616.21

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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.