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Finding the Fourth Proportional to 717.69, 1,077.04 and 409.79

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Solution

The fourth proportional to 717.69, 1,077.04 and 409.79 is: 614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.69 : 1,077.04 = 409.79 : x
  2. Step 2: Convert to fraction form
    717.69/1,077.04 = 409.79/x
  3. Step 3: Cross multiply
    717.69x = 1,077.04 × 409.79
  4. Step 4: Simplify right side
    717.69x = 441,354.84
  5. Step 5: Solve for x
    x = 441,354.84/717.69
  6. Step 6: Final answer
    x = 614.97

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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.