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Finding the Fourth Proportional to 1,650.17, 2,473.90 and 772.25

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Solution

The fourth proportional to 1,650.17, 2,473.90 and 772.25 is: 1,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.17 : 2,473.90 = 772.25 : x
  2. Step 2: Convert to fraction form
    1,650.17/2,473.90 = 772.25/x
  3. Step 3: Cross multiply
    1,650.17x = 2,473.90 × 772.25
  4. Step 4: Simplify right side
    1,650.17x = 1,910,454.97
  5. Step 5: Solve for x
    x = 1,910,454.97/1,650.17
  6. Step 6: Final answer
    x = 1,157.73

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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.