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Finding the Fourth Proportional to 1,178.98, 1,763.85 and 850.55

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Solution

The fourth proportional to 1,178.98, 1,763.85 and 850.55 is: 1,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.98 : 1,763.85 = 850.55 : x
  2. Step 2: Convert to fraction form
    1,178.98/1,763.85 = 850.55/x
  3. Step 3: Cross multiply
    1,178.98x = 1,763.85 × 850.55
  4. Step 4: Simplify right side
    1,178.98x = 1,500,244.52
  5. Step 5: Solve for x
    x = 1,500,244.52/1,178.98
  6. Step 6: Final answer
    x = 1,272.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.