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Finding the Fourth Proportional to 1,092.22, 1,505.19 and 742.30

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Solution

The fourth proportional to 1,092.22, 1,505.19 and 742.30 is: 1,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.22 : 1,505.19 = 742.30 : x
  2. Step 2: Convert to fraction form
    1,092.22/1,505.19 = 742.30/x
  3. Step 3: Cross multiply
    1,092.22x = 1,505.19 × 742.30
  4. Step 4: Simplify right side
    1,092.22x = 1,117,302.54
  5. Step 5: Solve for x
    x = 1,117,302.54/1,092.22
  6. Step 6: Final answer
    x = 1,022.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.