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Finding the Fourth Proportional to 1,242.57, 1,863.76 and 420.83

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Solution

The fourth proportional to 1,242.57, 1,863.76 and 420.83 is: 631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.57 : 1,863.76 = 420.83 : x
  2. Step 2: Convert to fraction form
    1,242.57/1,863.76 = 420.83/x
  3. Step 3: Cross multiply
    1,242.57x = 1,863.76 × 420.83
  4. Step 4: Simplify right side
    1,242.57x = 784,326.12
  5. Step 5: Solve for x
    x = 784,326.12/1,242.57
  6. Step 6: Final answer
    x = 631.21

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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.