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Finding the Fourth Proportional to 2,203.98, 3,305.96 and 560.52

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Solution

The fourth proportional to 2,203.98, 3,305.96 and 560.52 is: 840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.98 : 3,305.96 = 560.52 : x
  2. Step 2: Convert to fraction form
    2,203.98/3,305.96 = 560.52/x
  3. Step 3: Cross multiply
    2,203.98x = 3,305.96 × 560.52
  4. Step 4: Simplify right side
    2,203.98x = 1,853,056.70
  5. Step 5: Solve for x
    x = 1,853,056.70/2,203.98
  6. Step 6: Final answer
    x = 840.78

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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.