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Finding the Fourth Proportional to 1,221.13, 1,685.29 and 801.82

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Solution

The fourth proportional to 1,221.13, 1,685.29 and 801.82 is: 1,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.13 : 1,685.29 = 801.82 : x
  2. Step 2: Convert to fraction form
    1,221.13/1,685.29 = 801.82/x
  3. Step 3: Cross multiply
    1,221.13x = 1,685.29 × 801.82
  4. Step 4: Simplify right side
    1,221.13x = 1,351,299.23
  5. Step 5: Solve for x
    x = 1,351,299.23/1,221.13
  6. Step 6: Final answer
    x = 1,106.60

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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.