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Finding the Fourth Proportional to 1,161.39, 1,602.13 and 742.22

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Solution

The fourth proportional to 1,161.39, 1,602.13 and 742.22 is: 1,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.39 : 1,602.13 = 742.22 : x
  2. Step 2: Convert to fraction form
    1,161.39/1,602.13 = 742.22/x
  3. Step 3: Cross multiply
    1,161.39x = 1,602.13 × 742.22
  4. Step 4: Simplify right side
    1,161.39x = 1,189,132.93
  5. Step 5: Solve for x
    x = 1,189,132.93/1,161.39
  6. Step 6: Final answer
    x = 1,023.89

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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.