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Finding the Fourth Proportional to 1,049.90, 1,449.78 and 657.60

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Solution

The fourth proportional to 1,049.90, 1,449.78 and 657.60 is: 908.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.90 : 1,449.78 = 657.60 : x
  2. Step 2: Convert to fraction form
    1,049.90/1,449.78 = 657.60/x
  3. Step 3: Cross multiply
    1,049.90x = 1,449.78 × 657.60
  4. Step 4: Simplify right side
    1,049.90x = 953,375.33
  5. Step 5: Solve for x
    x = 953,375.33/1,049.90
  6. Step 6: Final answer
    x = 908.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.