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Finding the Fourth Proportional to 1,242.89, 1,863.89 and 365.17

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Solution

The fourth proportional to 1,242.89, 1,863.89 and 365.17 is: 547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.89 : 1,863.89 = 365.17 : x
  2. Step 2: Convert to fraction form
    1,242.89/1,863.89 = 365.17/x
  3. Step 3: Cross multiply
    1,242.89x = 1,863.89 × 365.17
  4. Step 4: Simplify right side
    1,242.89x = 680,636.68
  5. Step 5: Solve for x
    x = 680,636.68/1,242.89
  6. Step 6: Final answer
    x = 547.62

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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.