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Finding the Fourth Proportional to 1,011.59, 1,517.49 and 318.29

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Solution

The fourth proportional to 1,011.59, 1,517.49 and 318.29 is: 477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.59 : 1,517.49 = 318.29 : x
  2. Step 2: Convert to fraction form
    1,011.59/1,517.49 = 318.29/x
  3. Step 3: Cross multiply
    1,011.59x = 1,517.49 × 318.29
  4. Step 4: Simplify right side
    1,011.59x = 483,001.89
  5. Step 5: Solve for x
    x = 483,001.89/1,011.59
  6. Step 6: Final answer
    x = 477.47

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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.