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Finding the Fourth Proportional to 1,220.98, 1,684.50 and 801.56

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Solution

The fourth proportional to 1,220.98, 1,684.50 and 801.56 is: 1,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.98 : 1,684.50 = 801.56 : x
  2. Step 2: Convert to fraction form
    1,220.98/1,684.50 = 801.56/x
  3. Step 3: Cross multiply
    1,220.98x = 1,684.50 × 801.56
  4. Step 4: Simplify right side
    1,220.98x = 1,350,227.82
  5. Step 5: Solve for x
    x = 1,350,227.82/1,220.98
  6. Step 6: Final answer
    x = 1,105.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.