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Finding the Fourth Proportional to 685, 1,026.78 and 411.16

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Solution

The fourth proportional to 685, 1,026.78 and 411.16 is: 616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    685 : 1,026.78 = 411.16 : x
  2. Step 2: Convert to fraction form
    685/1,026.78 = 411.16/x
  3. Step 3: Cross multiply
    685x = 1,026.78 × 411.16
  4. Step 4: Simplify right side
    685x = 422,170.86
  5. Step 5: Solve for x
    x = 422,170.86/685
  6. Step 6: Final answer
    x = 616.31

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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.