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Finding the Fourth Proportional to 723.40, 997.14 and 691

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Solution

The fourth proportional to 723.40, 997.14 and 691 is: 952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.40 : 997.14 = 691 : x
  2. Step 2: Convert to fraction form
    723.40/997.14 = 691/x
  3. Step 3: Cross multiply
    723.40x = 997.14 × 691
  4. Step 4: Simplify right side
    723.40x = 689,023.74
  5. Step 5: Solve for x
    x = 689,023.74/723.40
  6. Step 6: Final answer
    x = 952.48

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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.