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Finding the Fourth Proportional to 1,178.98, 1,767.22 and 563.11

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Solution

The fourth proportional to 1,178.98, 1,767.22 and 563.11 is: 844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.98 : 1,767.22 = 563.11 : x
  2. Step 2: Convert to fraction form
    1,178.98/1,767.22 = 563.11/x
  3. Step 3: Cross multiply
    1,178.98x = 1,767.22 × 563.11
  4. Step 4: Simplify right side
    1,178.98x = 995,133.43
  5. Step 5: Solve for x
    x = 995,133.43/1,178.98
  6. Step 6: Final answer
    x = 844.06

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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.