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Finding the Fourth Proportional to 1,141.18, 1,711.86 and 319.47

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Solution

The fourth proportional to 1,141.18, 1,711.86 and 319.47 is: 479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.18 : 1,711.86 = 319.47 : x
  2. Step 2: Convert to fraction form
    1,141.18/1,711.86 = 319.47/x
  3. Step 3: Cross multiply
    1,141.18x = 1,711.86 × 319.47
  4. Step 4: Simplify right side
    1,141.18x = 546,887.91
  5. Step 5: Solve for x
    x = 546,887.91/1,141.18
  6. Step 6: Final answer
    x = 479.23

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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.