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Finding the Fourth Proportional to 754.38, 1,135.62 and 675

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Solution

The fourth proportional to 754.38, 1,135.62 and 675 is: 1,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.38 : 1,135.62 = 675 : x
  2. Step 2: Convert to fraction form
    754.38/1,135.62 = 675/x
  3. Step 3: Cross multiply
    754.38x = 1,135.62 × 675
  4. Step 4: Simplify right side
    754.38x = 766,543.50
  5. Step 5: Solve for x
    x = 766,543.50/754.38
  6. Step 6: Final answer
    x = 1,016.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.