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Finding the Fourth Proportional to 1,077.06, 1,616.58 and 667

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Solution

The fourth proportional to 1,077.06, 1,616.58 and 667 is: 1,001.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.06 : 1,616.58 = 667 : x
  2. Step 2: Convert to fraction form
    1,077.06/1,616.58 = 667/x
  3. Step 3: Cross multiply
    1,077.06x = 1,616.58 × 667
  4. Step 4: Simplify right side
    1,077.06x = 1,078,258.86
  5. Step 5: Solve for x
    x = 1,078,258.86/1,077.06
  6. Step 6: Final answer
    x = 1,001.11

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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.