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Finding the Fourth Proportional to 1,221.78, 1,685.03 and 801.81

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Solution

The fourth proportional to 1,221.78, 1,685.03 and 801.81 is: 1,105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.78 : 1,685.03 = 801.81 : x
  2. Step 2: Convert to fraction form
    1,221.78/1,685.03 = 801.81/x
  3. Step 3: Cross multiply
    1,221.78x = 1,685.03 × 801.81
  4. Step 4: Simplify right side
    1,221.78x = 1,351,073.90
  5. Step 5: Solve for x
    x = 1,351,073.90/1,221.78
  6. Step 6: Final answer
    x = 1,105.82

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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.