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Finding the Fourth Proportional to 678.97, 1,014.13 and 613.86

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Solution

The fourth proportional to 678.97, 1,014.13 and 613.86 is: 916.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.97 : 1,014.13 = 613.86 : x
  2. Step 2: Convert to fraction form
    678.97/1,014.13 = 613.86/x
  3. Step 3: Cross multiply
    678.97x = 1,014.13 × 613.86
  4. Step 4: Simplify right side
    678.97x = 622,532.31
  5. Step 5: Solve for x
    x = 622,532.31/678.97
  6. Step 6: Final answer
    x = 916.88

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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.