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Finding the Fourth Proportional to 1,277.89, 1,764.16 and 860.43

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Solution

The fourth proportional to 1,277.89, 1,764.16 and 860.43 is: 1,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.89 : 1,764.16 = 860.43 : x
  2. Step 2: Convert to fraction form
    1,277.89/1,764.16 = 860.43/x
  3. Step 3: Cross multiply
    1,277.89x = 1,764.16 × 860.43
  4. Step 4: Simplify right side
    1,277.89x = 1,517,936.19
  5. Step 5: Solve for x
    x = 1,517,936.19/1,277.89
  6. Step 6: Final answer
    x = 1,187.85

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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.