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Finding the Fourth Proportional to 1,242.40, 1,863.84 and 420.76

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Solution

The fourth proportional to 1,242.40, 1,863.84 and 420.76 is: 631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.40 : 1,863.84 = 420.76 : x
  2. Step 2: Convert to fraction form
    1,242.40/1,863.84 = 420.76/x
  3. Step 3: Cross multiply
    1,242.40x = 1,863.84 × 420.76
  4. Step 4: Simplify right side
    1,242.40x = 784,229.32
  5. Step 5: Solve for x
    x = 784,229.32/1,242.40
  6. Step 6: Final answer
    x = 631.22

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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.