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Finding the Fourth Proportional to 1,242.30, 1,863.50 and 462.50

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Solution

The fourth proportional to 1,242.30, 1,863.50 and 462.50 is: 693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.30 : 1,863.50 = 462.50 : x
  2. Step 2: Convert to fraction form
    1,242.30/1,863.50 = 462.50/x
  3. Step 3: Cross multiply
    1,242.30x = 1,863.50 × 462.50
  4. Step 4: Simplify right side
    1,242.30x = 861,868.75
  5. Step 5: Solve for x
    x = 861,868.75/1,242.30
  6. Step 6: Final answer
    x = 693.77

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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.