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Finding the Fourth Proportional to 1,202.41, 1,805.67 and 742.90

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Solution

The fourth proportional to 1,202.41, 1,805.67 and 742.90 is: 1,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.41 : 1,805.67 = 742.90 : x
  2. Step 2: Convert to fraction form
    1,202.41/1,805.67 = 742.90/x
  3. Step 3: Cross multiply
    1,202.41x = 1,805.67 × 742.90
  4. Step 4: Simplify right side
    1,202.41x = 1,341,432.24
  5. Step 5: Solve for x
    x = 1,341,432.24/1,202.41
  6. Step 6: Final answer
    x = 1,115.62

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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.