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Finding the Fourth Proportional to 1,001.24, 1,380.12 and 801.42

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Solution

The fourth proportional to 1,001.24, 1,380.12 and 801.42 is: 1,104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.24 : 1,380.12 = 801.42 : x
  2. Step 2: Convert to fraction form
    1,001.24/1,380.12 = 801.42/x
  3. Step 3: Cross multiply
    1,001.24x = 1,380.12 × 801.42
  4. Step 4: Simplify right side
    1,001.24x = 1,106,047.39
  5. Step 5: Solve for x
    x = 1,106,047.39/1,001.24
  6. Step 6: Final answer
    x = 1,104.68

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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.