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Finding the Fourth Proportional to 1,109.62, 1,662 and 698.95

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Solution

The fourth proportional to 1,109.62, 1,662 and 698.95 is: 1,046.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.62 : 1,662 = 698.95 : x
  2. Step 2: Convert to fraction form
    1,109.62/1,662 = 698.95/x
  3. Step 3: Cross multiply
    1,109.62x = 1,662 × 698.95
  4. Step 4: Simplify right side
    1,109.62x = 1,161,654.90
  5. Step 5: Solve for x
    x = 1,161,654.90/1,109.62
  6. Step 6: Final answer
    x = 1,046.89

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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.