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Finding the Fourth Proportional to 717.98, 1,077.13 and 231.07

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Solution

The fourth proportional to 717.98, 1,077.13 and 231.07 is: 346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.98 : 1,077.13 = 231.07 : x
  2. Step 2: Convert to fraction form
    717.98/1,077.13 = 231.07/x
  3. Step 3: Cross multiply
    717.98x = 1,077.13 × 231.07
  4. Step 4: Simplify right side
    717.98x = 248,892.43
  5. Step 5: Solve for x
    x = 248,892.43/717.98
  6. Step 6: Final answer
    x = 346.66

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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.