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Finding the Fourth Proportional to 1,764.73, 2,645.11 and 839.53

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Solution

The fourth proportional to 1,764.73, 2,645.11 and 839.53 is: 1,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.73 : 2,645.11 = 839.53 : x
  2. Step 2: Convert to fraction form
    1,764.73/2,645.11 = 839.53/x
  3. Step 3: Cross multiply
    1,764.73x = 2,645.11 × 839.53
  4. Step 4: Simplify right side
    1,764.73x = 2,220,649.20
  5. Step 5: Solve for x
    x = 2,220,649.20/1,764.73
  6. Step 6: Final answer
    x = 1,258.35

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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.