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Finding the Fourth Proportional to 1,125.62, 1,688.52 and 432.62

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Solution

The fourth proportional to 1,125.62, 1,688.52 and 432.62 is: 648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.62 : 1,688.52 = 432.62 : x
  2. Step 2: Convert to fraction form
    1,125.62/1,688.52 = 432.62/x
  3. Step 3: Cross multiply
    1,125.62x = 1,688.52 × 432.62
  4. Step 4: Simplify right side
    1,125.62x = 730,487.52
  5. Step 5: Solve for x
    x = 730,487.52/1,125.62
  6. Step 6: Final answer
    x = 648.96

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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.