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Finding the Fourth Proportional to 1,228.83, 1,843.52 and 535.61

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Solution

The fourth proportional to 1,228.83, 1,843.52 and 535.61 is: 803.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.83 : 1,843.52 = 535.61 : x
  2. Step 2: Convert to fraction form
    1,228.83/1,843.52 = 535.61/x
  3. Step 3: Cross multiply
    1,228.83x = 1,843.52 × 535.61
  4. Step 4: Simplify right side
    1,228.83x = 987,407.75
  5. Step 5: Solve for x
    x = 987,407.75/1,228.83
  6. Step 6: Final answer
    x = 803.53

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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.