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Finding the Fourth Proportional to 874.96, 1,311.12 and 691.60

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Solution

The fourth proportional to 874.96, 1,311.12 and 691.60 is: 1,036.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.96 : 1,311.12 = 691.60 : x
  2. Step 2: Convert to fraction form
    874.96/1,311.12 = 691.60/x
  3. Step 3: Cross multiply
    874.96x = 1,311.12 × 691.60
  4. Step 4: Simplify right side
    874.96x = 906,770.59
  5. Step 5: Solve for x
    x = 906,770.59/874.96
  6. Step 6: Final answer
    x = 1,036.36

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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.