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Finding the Fourth Proportional to 1,242.65, 1,863.92 and 365.12

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Solution

The fourth proportional to 1,242.65, 1,863.92 and 365.12 is: 547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.65 : 1,863.92 = 365.12 : x
  2. Step 2: Convert to fraction form
    1,242.65/1,863.92 = 365.12/x
  3. Step 3: Cross multiply
    1,242.65x = 1,863.92 × 365.12
  4. Step 4: Simplify right side
    1,242.65x = 680,553.05
  5. Step 5: Solve for x
    x = 680,553.05/1,242.65
  6. Step 6: Final answer
    x = 547.66

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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.