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Finding the Fourth Proportional to 1,242.20, 1,862.04 and 420.20

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Solution

The fourth proportional to 1,242.20, 1,862.04 and 420.20 is: 629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.20 : 1,862.04 = 420.20 : x
  2. Step 2: Convert to fraction form
    1,242.20/1,862.04 = 420.20/x
  3. Step 3: Cross multiply
    1,242.20x = 1,862.04 × 420.20
  4. Step 4: Simplify right side
    1,242.20x = 782,429.21
  5. Step 5: Solve for x
    x = 782,429.21/1,242.20
  6. Step 6: Final answer
    x = 629.87

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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.