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Finding the Fourth Proportional to 1,141.59, 1,711.66 and 483.13

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Solution

The fourth proportional to 1,141.59, 1,711.66 and 483.13 is: 724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.59 : 1,711.66 = 483.13 : x
  2. Step 2: Convert to fraction form
    1,141.59/1,711.66 = 483.13/x
  3. Step 3: Cross multiply
    1,141.59x = 1,711.66 × 483.13
  4. Step 4: Simplify right side
    1,141.59x = 826,950.02
  5. Step 5: Solve for x
    x = 826,950.02/1,141.59
  6. Step 6: Final answer
    x = 724.38

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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.