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Finding the Fourth Proportional to 713.70, 984.86 and 461.18

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Solution

The fourth proportional to 713.70, 984.86 and 461.18 is: 636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.70 : 984.86 = 461.18 : x
  2. Step 2: Convert to fraction form
    713.70/984.86 = 461.18/x
  3. Step 3: Cross multiply
    713.70x = 984.86 × 461.18
  4. Step 4: Simplify right side
    713.70x = 454,197.73
  5. Step 5: Solve for x
    x = 454,197.73/713.70
  6. Step 6: Final answer
    x = 636.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.