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Finding the Fourth Proportional to 1,077.94, 1,486.65 and 881.11

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Solution

The fourth proportional to 1,077.94, 1,486.65 and 881.11 is: 1,215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.94 : 1,486.65 = 881.11 : x
  2. Step 2: Convert to fraction form
    1,077.94/1,486.65 = 881.11/x
  3. Step 3: Cross multiply
    1,077.94x = 1,486.65 × 881.11
  4. Step 4: Simplify right side
    1,077.94x = 1,309,902.18
  5. Step 5: Solve for x
    x = 1,309,902.18/1,077.94
  6. Step 6: Final answer
    x = 1,215.19

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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.