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Finding the Fourth Proportional to 717.69, 1,076.86 and 306.92

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Solution

The fourth proportional to 717.69, 1,076.86 and 306.92 is: 460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.69 : 1,076.86 = 306.92 : x
  2. Step 2: Convert to fraction form
    717.69/1,076.86 = 306.92/x
  3. Step 3: Cross multiply
    717.69x = 1,076.86 × 306.92
  4. Step 4: Simplify right side
    717.69x = 330,512.95
  5. Step 5: Solve for x
    x = 330,512.95/717.69
  6. Step 6: Final answer
    x = 460.52

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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.