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Finding the Fourth Proportional to 1,180.75, 1,778 and 874.78

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Solution

The fourth proportional to 1,180.75, 1,778 and 874.78 is: 1,317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.75 : 1,778 = 874.78 : x
  2. Step 2: Convert to fraction form
    1,180.75/1,778 = 874.78/x
  3. Step 3: Cross multiply
    1,180.75x = 1,778 × 874.78
  4. Step 4: Simplify right side
    1,180.75x = 1,555,358.84
  5. Step 5: Solve for x
    x = 1,555,358.84/1,180.75
  6. Step 6: Final answer
    x = 1,317.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.