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Finding the Fourth Proportional to 717.09, 1,076.39 and 409.55

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Solution

The fourth proportional to 717.09, 1,076.39 and 409.55 is: 614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.09 : 1,076.39 = 409.55 : x
  2. Step 2: Convert to fraction form
    717.09/1,076.39 = 409.55/x
  3. Step 3: Cross multiply
    717.09x = 1,076.39 × 409.55
  4. Step 4: Simplify right side
    717.09x = 440,828.09
  5. Step 5: Solve for x
    x = 440,828.09/717.09
  6. Step 6: Final answer
    x = 614.75

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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.