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Finding the Fourth Proportional to 716.18, 1,072.67 and 698.72

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Solution

The fourth proportional to 716.18, 1,072.67 and 698.72 is: 1,046.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.18 : 1,072.67 = 698.72 : x
  2. Step 2: Convert to fraction form
    716.18/1,072.67 = 698.72/x
  3. Step 3: Cross multiply
    716.18x = 1,072.67 × 698.72
  4. Step 4: Simplify right side
    716.18x = 749,487.13
  5. Step 5: Solve for x
    x = 749,487.13/716.18
  6. Step 6: Final answer
    x = 1,046.51

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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.