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Finding the Fourth Proportional to 1,242.17, 1,861.96 and 461.46

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Solution

The fourth proportional to 1,242.17, 1,861.96 and 461.46 is: 691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.17 : 1,861.96 = 461.46 : x
  2. Step 2: Convert to fraction form
    1,242.17/1,861.96 = 461.46/x
  3. Step 3: Cross multiply
    1,242.17x = 1,861.96 × 461.46
  4. Step 4: Simplify right side
    1,242.17x = 859,220.06
  5. Step 5: Solve for x
    x = 859,220.06/1,242.17
  6. Step 6: Final answer
    x = 691.71

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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.