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Finding the Fourth Proportional to 1,049.23, 1,572.49 and 432.20

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Solution

The fourth proportional to 1,049.23, 1,572.49 and 432.20 is: 647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.23 : 1,572.49 = 432.20 : x
  2. Step 2: Convert to fraction form
    1,049.23/1,572.49 = 432.20/x
  3. Step 3: Cross multiply
    1,049.23x = 1,572.49 × 432.20
  4. Step 4: Simplify right side
    1,049.23x = 679,630.18
  5. Step 5: Solve for x
    x = 679,630.18/1,049.23
  6. Step 6: Final answer
    x = 647.74

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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.