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Finding the Fourth Proportional to 1,242.50, 1,863.68 and 462.38

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Solution

The fourth proportional to 1,242.50, 1,863.68 and 462.38 is: 693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.50 : 1,863.68 = 462.38 : x
  2. Step 2: Convert to fraction form
    1,242.50/1,863.68 = 462.38/x
  3. Step 3: Cross multiply
    1,242.50x = 1,863.68 × 462.38
  4. Step 4: Simplify right side
    1,242.50x = 861,728.36
  5. Step 5: Solve for x
    x = 861,728.36/1,242.50
  6. Step 6: Final answer
    x = 693.54

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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.