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Finding the Fourth Proportional to 1,242.29, 1,863.57 and 462.53

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Solution

The fourth proportional to 1,242.29, 1,863.57 and 462.53 is: 693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.29 : 1,863.57 = 462.53 : x
  2. Step 2: Convert to fraction form
    1,242.29/1,863.57 = 462.53/x
  3. Step 3: Cross multiply
    1,242.29x = 1,863.57 × 462.53
  4. Step 4: Simplify right side
    1,242.29x = 861,947.71
  5. Step 5: Solve for x
    x = 861,947.71/1,242.29
  6. Step 6: Final answer
    x = 693.84

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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.