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Finding the Fourth Proportional to 1,049.31, 1,574.19 and 318.94

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Solution

The fourth proportional to 1,049.31, 1,574.19 and 318.94 is: 478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.31 : 1,574.19 = 318.94 : x
  2. Step 2: Convert to fraction form
    1,049.31/1,574.19 = 318.94/x
  3. Step 3: Cross multiply
    1,049.31x = 1,574.19 × 318.94
  4. Step 4: Simplify right side
    1,049.31x = 502,062.69
  5. Step 5: Solve for x
    x = 502,062.69/1,049.31
  6. Step 6: Final answer
    x = 478.47

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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.