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Finding the Fourth Proportional to 724.16, 1,078.82 and 689.33

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Solution

The fourth proportional to 724.16, 1,078.82 and 689.33 is: 1,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.16 : 1,078.82 = 689.33 : x
  2. Step 2: Convert to fraction form
    724.16/1,078.82 = 689.33/x
  3. Step 3: Cross multiply
    724.16x = 1,078.82 × 689.33
  4. Step 4: Simplify right side
    724.16x = 743,658.76
  5. Step 5: Solve for x
    x = 743,658.76/724.16
  6. Step 6: Final answer
    x = 1,026.93

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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.