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Finding the Fourth Proportional to 1,049.54, 1,572.68 and 432.72

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Solution

The fourth proportional to 1,049.54, 1,572.68 and 432.72 is: 648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.54 : 1,572.68 = 432.72 : x
  2. Step 2: Convert to fraction form
    1,049.54/1,572.68 = 432.72/x
  3. Step 3: Cross multiply
    1,049.54x = 1,572.68 × 432.72
  4. Step 4: Simplify right side
    1,049.54x = 680,530.09
  5. Step 5: Solve for x
    x = 680,530.09/1,049.54
  6. Step 6: Final answer
    x = 648.41

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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.