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Finding the Fourth Proportional to 731.85, 1,096.86 and 577.17

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Solution

The fourth proportional to 731.85, 1,096.86 and 577.17 is: 865.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.85 : 1,096.86 = 577.17 : x
  2. Step 2: Convert to fraction form
    731.85/1,096.86 = 577.17/x
  3. Step 3: Cross multiply
    731.85x = 1,096.86 × 577.17
  4. Step 4: Simplify right side
    731.85x = 633,074.69
  5. Step 5: Solve for x
    x = 633,074.69/731.85
  6. Step 6: Final answer
    x = 865.03

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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.