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Finding the Fourth Proportional to 762.27, 1,142.60 and 432.80

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Solution

The fourth proportional to 762.27, 1,142.60 and 432.80 is: 648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.27 : 1,142.60 = 432.80 : x
  2. Step 2: Convert to fraction form
    762.27/1,142.60 = 432.80/x
  3. Step 3: Cross multiply
    762.27x = 1,142.60 × 432.80
  4. Step 4: Simplify right side
    762.27x = 494,512.65
  5. Step 5: Solve for x
    x = 494,512.65/762.27
  6. Step 6: Final answer
    x = 648.74

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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.