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Finding the Fourth Proportional to 655.70, 983.55 and 461.30

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Solution

The fourth proportional to 655.70, 983.55 and 461.30 is: 691.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.70 : 983.55 = 461.30 : x
  2. Step 2: Convert to fraction form
    655.70/983.55 = 461.30/x
  3. Step 3: Cross multiply
    655.70x = 983.55 × 461.30
  4. Step 4: Simplify right side
    655.70x = 453,711.62
  5. Step 5: Solve for x
    x = 453,711.62/655.70
  6. Step 6: Final answer
    x = 691.95

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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.