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Finding the Fourth Proportional to 1,228.24, 1,843.17 and 651.52

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Solution

The fourth proportional to 1,228.24, 1,843.17 and 651.52 is: 977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.24 : 1,843.17 = 651.52 : x
  2. Step 2: Convert to fraction form
    1,228.24/1,843.17 = 651.52/x
  3. Step 3: Cross multiply
    1,228.24x = 1,843.17 × 651.52
  4. Step 4: Simplify right side
    1,228.24x = 1,200,862.12
  5. Step 5: Solve for x
    x = 1,200,862.12/1,228.24
  6. Step 6: Final answer
    x = 977.71

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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.