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Finding the Fourth Proportional to 1,077.06, 1,486.44 and 868.08

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Solution

The fourth proportional to 1,077.06, 1,486.44 and 868.08 is: 1,198.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.06 : 1,486.44 = 868.08 : x
  2. Step 2: Convert to fraction form
    1,077.06/1,486.44 = 868.08/x
  3. Step 3: Cross multiply
    1,077.06x = 1,486.44 × 868.08
  4. Step 4: Simplify right side
    1,077.06x = 1,290,348.84
  5. Step 5: Solve for x
    x = 1,290,348.84/1,077.06
  6. Step 6: Final answer
    x = 1,198.03

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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.