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Finding the Fourth Proportional to 1,101.42, 1,647.99 and 662.85

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Solution

The fourth proportional to 1,101.42, 1,647.99 and 662.85 is: 991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.42 : 1,647.99 = 662.85 : x
  2. Step 2: Convert to fraction form
    1,101.42/1,647.99 = 662.85/x
  3. Step 3: Cross multiply
    1,101.42x = 1,647.99 × 662.85
  4. Step 4: Simplify right side
    1,101.42x = 1,092,370.17
  5. Step 5: Solve for x
    x = 1,092,370.17/1,101.42
  6. Step 6: Final answer
    x = 991.78

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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.