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Finding the Fourth Proportional to 1,048.43, 1,572.71 and 318.02

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Solution

The fourth proportional to 1,048.43, 1,572.71 and 318.02 is: 477.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.43 : 1,572.71 = 318.02 : x
  2. Step 2: Convert to fraction form
    1,048.43/1,572.71 = 318.02/x
  3. Step 3: Cross multiply
    1,048.43x = 1,572.71 × 318.02
  4. Step 4: Simplify right side
    1,048.43x = 500,145.57
  5. Step 5: Solve for x
    x = 500,145.57/1,048.43
  6. Step 6: Final answer
    x = 477.04

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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.