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Finding the Fourth Proportional to 1,281.12, 1,768.38 and 888.66

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Solution

The fourth proportional to 1,281.12, 1,768.38 and 888.66 is: 1,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.12 : 1,768.38 = 888.66 : x
  2. Step 2: Convert to fraction form
    1,281.12/1,768.38 = 888.66/x
  3. Step 3: Cross multiply
    1,281.12x = 1,768.38 × 888.66
  4. Step 4: Simplify right side
    1,281.12x = 1,571,488.57
  5. Step 5: Solve for x
    x = 1,571,488.57/1,281.12
  6. Step 6: Final answer
    x = 1,226.65

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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.