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Finding the Fourth Proportional to 1,233.92, 1,701.86 and 860.78

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Solution

The fourth proportional to 1,233.92, 1,701.86 and 860.78 is: 1,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.92 : 1,701.86 = 860.78 : x
  2. Step 2: Convert to fraction form
    1,233.92/1,701.86 = 860.78/x
  3. Step 3: Cross multiply
    1,233.92x = 1,701.86 × 860.78
  4. Step 4: Simplify right side
    1,233.92x = 1,464,927.05
  5. Step 5: Solve for x
    x = 1,464,927.05/1,233.92
  6. Step 6: Final answer
    x = 1,187.21

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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.