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Finding the Fourth Proportional to 717.39, 1,076.69 and 512.46

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Solution

The fourth proportional to 717.39, 1,076.69 and 512.46 is: 769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.39 : 1,076.69 = 512.46 : x
  2. Step 2: Convert to fraction form
    717.39/1,076.69 = 512.46/x
  3. Step 3: Cross multiply
    717.39x = 1,076.69 × 512.46
  4. Step 4: Simplify right side
    717.39x = 551,761.84
  5. Step 5: Solve for x
    x = 551,761.84/717.39
  6. Step 6: Final answer
    x = 769.12

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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.