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Finding the Fourth Proportional to 1,141.27, 1,711.98 and 319.54

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Solution

The fourth proportional to 1,141.27, 1,711.98 and 319.54 is: 479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.27 : 1,711.98 = 319.54 : x
  2. Step 2: Convert to fraction form
    1,141.27/1,711.98 = 319.54/x
  3. Step 3: Cross multiply
    1,141.27x = 1,711.98 × 319.54
  4. Step 4: Simplify right side
    1,141.27x = 547,046.09
  5. Step 5: Solve for x
    x = 547,046.09/1,141.27
  6. Step 6: Final answer
    x = 479.33

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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.