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Finding the Fourth Proportional to 1,057.06, 1,584.42 and 667.90

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Solution

The fourth proportional to 1,057.06, 1,584.42 and 667.90 is: 1,001.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.06 : 1,584.42 = 667.90 : x
  2. Step 2: Convert to fraction form
    1,057.06/1,584.42 = 667.90/x
  3. Step 3: Cross multiply
    1,057.06x = 1,584.42 × 667.90
  4. Step 4: Simplify right side
    1,057.06x = 1,058,234.12
  5. Step 5: Solve for x
    x = 1,058,234.12/1,057.06
  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.