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Finding the Fourth Proportional to 1,432.50, 2,149.11 and 406.50

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Solution

The fourth proportional to 1,432.50, 2,149.11 and 406.50 is: 609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.50 : 2,149.11 = 406.50 : x
  2. Step 2: Convert to fraction form
    1,432.50/2,149.11 = 406.50/x
  3. Step 3: Cross multiply
    1,432.50x = 2,149.11 × 406.50
  4. Step 4: Simplify right side
    1,432.50x = 873,613.22
  5. Step 5: Solve for x
    x = 873,613.22/1,432.50
  6. Step 6: Final answer
    x = 609.85

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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.