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Finding the Fourth Proportional to 867.12, 1,195.45 and 742.24

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Solution

The fourth proportional to 867.12, 1,195.45 and 742.24 is: 1,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.12 : 1,195.45 = 742.24 : x
  2. Step 2: Convert to fraction form
    867.12/1,195.45 = 742.24/x
  3. Step 3: Cross multiply
    867.12x = 1,195.45 × 742.24
  4. Step 4: Simplify right side
    867.12x = 887,310.81
  5. Step 5: Solve for x
    x = 887,310.81/867.12
  6. Step 6: Final answer
    x = 1,023.28

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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.