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Finding the Fourth Proportional to 724.58, 1,079.18 and 679.64

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Solution

The fourth proportional to 724.58, 1,079.18 and 679.64 is: 1,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.58 : 1,079.18 = 679.64 : x
  2. Step 2: Convert to fraction form
    724.58/1,079.18 = 679.64/x
  3. Step 3: Cross multiply
    724.58x = 1,079.18 × 679.64
  4. Step 4: Simplify right side
    724.58x = 733,453.90
  5. Step 5: Solve for x
    x = 733,453.90/724.58
  6. Step 6: Final answer
    x = 1,012.25

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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.