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Finding the Fourth Proportional to 1,001.16, 1,380.24 and 855.36

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Solution

The fourth proportional to 1,001.16, 1,380.24 and 855.36 is: 1,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.16 : 1,380.24 = 855.36 : x
  2. Step 2: Convert to fraction form
    1,001.16/1,380.24 = 855.36/x
  3. Step 3: Cross multiply
    1,001.16x = 1,380.24 × 855.36
  4. Step 4: Simplify right side
    1,001.16x = 1,180,602.09
  5. Step 5: Solve for x
    x = 1,180,602.09/1,001.16
  6. Step 6: Final answer
    x = 1,179.23

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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.