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Finding the Fourth Proportional to 731.67, 1,103.02 and 684.69

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Solution

The fourth proportional to 731.67, 1,103.02 and 684.69 is: 1,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.67 : 1,103.02 = 684.69 : x
  2. Step 2: Convert to fraction form
    731.67/1,103.02 = 684.69/x
  3. Step 3: Cross multiply
    731.67x = 1,103.02 × 684.69
  4. Step 4: Simplify right side
    731.67x = 755,226.76
  5. Step 5: Solve for x
    x = 755,226.76/731.67
  6. Step 6: Final answer
    x = 1,032.20

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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.