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Finding the Fourth Proportional to 763.39, 1,142.63 and 691.46

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Solution

The fourth proportional to 763.39, 1,142.63 and 691.46 is: 1,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.39 : 1,142.63 = 691.46 : x
  2. Step 2: Convert to fraction form
    763.39/1,142.63 = 691.46/x
  3. Step 3: Cross multiply
    763.39x = 1,142.63 × 691.46
  4. Step 4: Simplify right side
    763.39x = 790,086.68
  5. Step 5: Solve for x
    x = 790,086.68/763.39
  6. Step 6: Final answer
    x = 1,034.97

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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.