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Finding the Fourth Proportional to 1,076.90, 1,616.13 and 427.82

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Solution

The fourth proportional to 1,076.90, 1,616.13 and 427.82 is: 642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.90 : 1,616.13 = 427.82 : x
  2. Step 2: Convert to fraction form
    1,076.90/1,616.13 = 427.82/x
  3. Step 3: Cross multiply
    1,076.90x = 1,616.13 × 427.82
  4. Step 4: Simplify right side
    1,076.90x = 691,404.66
  5. Step 5: Solve for x
    x = 691,404.66/1,076.90
  6. Step 6: Final answer
    x = 642.04

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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.