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Finding the Fourth Proportional to 1,049.27, 1,574.07 and 318.76

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Solution

The fourth proportional to 1,049.27, 1,574.07 and 318.76 is: 478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.27 : 1,574.07 = 318.76 : x
  2. Step 2: Convert to fraction form
    1,049.27/1,574.07 = 318.76/x
  3. Step 3: Cross multiply
    1,049.27x = 1,574.07 × 318.76
  4. Step 4: Simplify right side
    1,049.27x = 501,750.55
  5. Step 5: Solve for x
    x = 501,750.55/1,049.27
  6. Step 6: Final answer
    x = 478.19

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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.