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Finding the Fourth Proportional to 1,076.97, 1,616.06 and 461.15

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Solution

The fourth proportional to 1,076.97, 1,616.06 and 461.15 is: 691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.97 : 1,616.06 = 461.15 : x
  2. Step 2: Convert to fraction form
    1,076.97/1,616.06 = 461.15/x
  3. Step 3: Cross multiply
    1,076.97x = 1,616.06 × 461.15
  4. Step 4: Simplify right side
    1,076.97x = 745,246.07
  5. Step 5: Solve for x
    x = 745,246.07/1,076.97
  6. Step 6: Final answer
    x = 691.98

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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.