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Finding the Fourth Proportional to 1,627.96, 2,442.24 and 532.39

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Solution

The fourth proportional to 1,627.96, 2,442.24 and 532.39 is: 798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.96 : 2,442.24 = 532.39 : x
  2. Step 2: Convert to fraction form
    1,627.96/2,442.24 = 532.39/x
  3. Step 3: Cross multiply
    1,627.96x = 2,442.24 × 532.39
  4. Step 4: Simplify right side
    1,627.96x = 1,300,211.94
  5. Step 5: Solve for x
    x = 1,300,211.94/1,627.96
  6. Step 6: Final answer
    x = 798.68

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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.