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Finding the Fourth Proportional to 1,242.14, 1,863.99 and 462.06

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Solution

The fourth proportional to 1,242.14, 1,863.99 and 462.06 is: 693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.14 : 1,863.99 = 462.06 : x
  2. Step 2: Convert to fraction form
    1,242.14/1,863.99 = 462.06/x
  3. Step 3: Cross multiply
    1,242.14x = 1,863.99 × 462.06
  4. Step 4: Simplify right side
    1,242.14x = 861,275.22
  5. Step 5: Solve for x
    x = 861,275.22/1,242.14
  6. Step 6: Final answer
    x = 693.38

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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.