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Finding the Fourth Proportional to 755.90, 1,135.20 and 731.60

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Solution

The fourth proportional to 755.90, 1,135.20 and 731.60 is: 1,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.90 : 1,135.20 = 731.60 : x
  2. Step 2: Convert to fraction form
    755.90/1,135.20 = 731.60/x
  3. Step 3: Cross multiply
    755.90x = 1,135.20 × 731.60
  4. Step 4: Simplify right side
    755.90x = 830,512.32
  5. Step 5: Solve for x
    x = 830,512.32/755.90
  6. Step 6: Final answer
    x = 1,098.71

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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.