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Finding the Fourth Proportional to 1,221.01, 1,684.18 and 801.74

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Solution

The fourth proportional to 1,221.01, 1,684.18 and 801.74 is: 1,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.01 : 1,684.18 = 801.74 : x
  2. Step 2: Convert to fraction form
    1,221.01/1,684.18 = 801.74/x
  3. Step 3: Cross multiply
    1,221.01x = 1,684.18 × 801.74
  4. Step 4: Simplify right side
    1,221.01x = 1,350,274.47
  5. Step 5: Solve for x
    x = 1,350,274.47/1,221.01
  6. Step 6: Final answer
    x = 1,105.87

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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.