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Finding the Fourth Proportional to 1,049.13, 1,572.31 and 432.49

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Solution

The fourth proportional to 1,049.13, 1,572.31 and 432.49 is: 648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.13 : 1,572.31 = 432.49 : x
  2. Step 2: Convert to fraction form
    1,049.13/1,572.31 = 432.49/x
  3. Step 3: Cross multiply
    1,049.13x = 1,572.31 × 432.49
  4. Step 4: Simplify right side
    1,049.13x = 680,007.91
  5. Step 5: Solve for x
    x = 680,007.91/1,049.13
  6. Step 6: Final answer
    x = 648.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.