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Finding the Fourth Proportional to 781.31, 1,172.00 and 268.31

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Solution

The fourth proportional to 781.31, 1,172.00 and 268.31 is: 402.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.31 : 1,172.00 = 268.31 : x
  2. Step 2: Convert to fraction form
    781.31/1,172.00 = 268.31/x
  3. Step 3: Cross multiply
    781.31x = 1,172.00 × 268.31
  4. Step 4: Simplify right side
    781.31x = 314,462.92
  5. Step 5: Solve for x
    x = 314,462.92/781.31
  6. Step 6: Final answer
    x = 402.48

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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.