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Finding the Fourth Proportional to 1,228.80, 1,844.56 and 681.52

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Solution

The fourth proportional to 1,228.80, 1,844.56 and 681.52 is: 1,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.80 : 1,844.56 = 681.52 : x
  2. Step 2: Convert to fraction form
    1,228.80/1,844.56 = 681.52/x
  3. Step 3: Cross multiply
    1,228.80x = 1,844.56 × 681.52
  4. Step 4: Simplify right side
    1,228.80x = 1,257,104.53
  5. Step 5: Solve for x
    x = 1,257,104.53/1,228.80
  6. Step 6: Final answer
    x = 1,023.03

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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.