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Finding the Fourth Proportional to 1,001.04, 1,381.24 and 852.22

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Solution

The fourth proportional to 1,001.04, 1,381.24 and 852.22 is: 1,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.04 : 1,381.24 = 852.22 : x
  2. Step 2: Convert to fraction form
    1,001.04/1,381.24 = 852.22/x
  3. Step 3: Cross multiply
    1,001.04x = 1,381.24 × 852.22
  4. Step 4: Simplify right side
    1,001.04x = 1,177,120.35
  5. Step 5: Solve for x
    x = 1,177,120.35/1,001.04
  6. Step 6: Final answer
    x = 1,175.90

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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.