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Finding the Fourth Proportional to 1,242.40, 1,863.92 and 376.72

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Solution

The fourth proportional to 1,242.40, 1,863.92 and 376.72 is: 565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.40 : 1,863.92 = 376.72 : x
  2. Step 2: Convert to fraction form
    1,242.40/1,863.92 = 376.72/x
  3. Step 3: Cross multiply
    1,242.40x = 1,863.92 × 376.72
  4. Step 4: Simplify right side
    1,242.40x = 702,175.94
  5. Step 5: Solve for x
    x = 702,175.94/1,242.40
  6. Step 6: Final answer
    x = 565.18

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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.