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Finding the Fourth Proportional to 1,042.47, 1,562.48 and 425.47

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Solution

The fourth proportional to 1,042.47, 1,562.48 and 425.47 is: 637.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.47 : 1,562.48 = 425.47 : x
  2. Step 2: Convert to fraction form
    1,042.47/1,562.48 = 425.47/x
  3. Step 3: Cross multiply
    1,042.47x = 1,562.48 × 425.47
  4. Step 4: Simplify right side
    1,042.47x = 664,788.37
  5. Step 5: Solve for x
    x = 664,788.37/1,042.47
  6. Step 6: Final answer
    x = 637.71

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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.