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Finding the Fourth Proportional to 965.06, 1,332.36 and 731.78

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Solution

The fourth proportional to 965.06, 1,332.36 and 731.78 is: 1,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.06 : 1,332.36 = 731.78 : x
  2. Step 2: Convert to fraction form
    965.06/1,332.36 = 731.78/x
  3. Step 3: Cross multiply
    965.06x = 1,332.36 × 731.78
  4. Step 4: Simplify right side
    965.06x = 974,997.73
  5. Step 5: Solve for x
    x = 974,997.73/965.06
  6. Step 6: Final answer
    x = 1,010.29

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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.