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Finding the Fourth Proportional to 1,078.62, 1,616.40 and 834

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Solution

The fourth proportional to 1,078.62, 1,616.40 and 834 is: 1,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.62 : 1,616.40 = 834 : x
  2. Step 2: Convert to fraction form
    1,078.62/1,616.40 = 834/x
  3. Step 3: Cross multiply
    1,078.62x = 1,616.40 × 834
  4. Step 4: Simplify right side
    1,078.62x = 1,348,077.60
  5. Step 5: Solve for x
    x = 1,348,077.60/1,078.62
  6. Step 6: Final answer
    x = 1,249.82

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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.