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Finding the Fourth Proportional to 731.35, 1,094.34 and 691.77

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Solution

The fourth proportional to 731.35, 1,094.34 and 691.77 is: 1,035.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.35 : 1,094.34 = 691.77 : x
  2. Step 2: Convert to fraction form
    731.35/1,094.34 = 691.77/x
  3. Step 3: Cross multiply
    731.35x = 1,094.34 × 691.77
  4. Step 4: Simplify right side
    731.35x = 757,028.12
  5. Step 5: Solve for x
    x = 757,028.12/731.35
  6. Step 6: Final answer
    x = 1,035.11

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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.