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Finding the Fourth Proportional to 731.97, 1,010.07 and 600.75

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Solution

The fourth proportional to 731.97, 1,010.07 and 600.75 is: 829.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.97 : 1,010.07 = 600.75 : x
  2. Step 2: Convert to fraction form
    731.97/1,010.07 = 600.75/x
  3. Step 3: Cross multiply
    731.97x = 1,010.07 × 600.75
  4. Step 4: Simplify right side
    731.97x = 606,799.55
  5. Step 5: Solve for x
    x = 606,799.55/731.97
  6. Step 6: Final answer
    x = 829.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.