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Finding the Fourth Proportional to 1,049.12, 1,573.86 and 432.47

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Solution

The fourth proportional to 1,049.12, 1,573.86 and 432.47 is: 648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.12 : 1,573.86 = 432.47 : x
  2. Step 2: Convert to fraction form
    1,049.12/1,573.86 = 432.47/x
  3. Step 3: Cross multiply
    1,049.12x = 1,573.86 × 432.47
  4. Step 4: Simplify right side
    1,049.12x = 680,651.17
  5. Step 5: Solve for x
    x = 680,651.17/1,049.12
  6. Step 6: Final answer
    x = 648.79

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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.