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Finding the Fourth Proportional to 1,180.20, 1,773.02 and 742.80

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Solution

The fourth proportional to 1,180.20, 1,773.02 and 742.80 is: 1,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.20 : 1,773.02 = 742.80 : x
  2. Step 2: Convert to fraction form
    1,180.20/1,773.02 = 742.80/x
  3. Step 3: Cross multiply
    1,180.20x = 1,773.02 × 742.80
  4. Step 4: Simplify right side
    1,180.20x = 1,316,999.26
  5. Step 5: Solve for x
    x = 1,316,999.26/1,180.20
  6. Step 6: Final answer
    x = 1,115.91

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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.