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Finding the Fourth Proportional to 720.98, 1,074.61 and 679.97

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Solution

The fourth proportional to 720.98, 1,074.61 and 679.97 is: 1,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.98 : 1,074.61 = 679.97 : x
  2. Step 2: Convert to fraction form
    720.98/1,074.61 = 679.97/x
  3. Step 3: Cross multiply
    720.98x = 1,074.61 × 679.97
  4. Step 4: Simplify right side
    720.98x = 730,702.56
  5. Step 5: Solve for x
    x = 730,702.56/720.98
  6. Step 6: Final answer
    x = 1,013.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.