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Finding the Fourth Proportional to 1,049.31, 1,574.21 and 318.85

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Solution

The fourth proportional to 1,049.31, 1,574.21 and 318.85 is: 478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.31 : 1,574.21 = 318.85 : x
  2. Step 2: Convert to fraction form
    1,049.31/1,574.21 = 318.85/x
  3. Step 3: Cross multiply
    1,049.31x = 1,574.21 × 318.85
  4. Step 4: Simplify right side
    1,049.31x = 501,933.72
  5. Step 5: Solve for x
    x = 501,933.72/1,049.31
  6. Step 6: Final answer
    x = 478.35

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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.