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Finding the Fourth Proportional to 1,737.59, 2,605.36 and 698.09

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Solution

The fourth proportional to 1,737.59, 2,605.36 and 698.09 is: 1,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.59 : 2,605.36 = 698.09 : x
  2. Step 2: Convert to fraction form
    1,737.59/2,605.36 = 698.09/x
  3. Step 3: Cross multiply
    1,737.59x = 2,605.36 × 698.09
  4. Step 4: Simplify right side
    1,737.59x = 1,818,759.25
  5. Step 5: Solve for x
    x = 1,818,759.25/1,737.59
  6. Step 6: Final answer
    x = 1,046.71

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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.