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Finding the Fourth Proportional to 1,180.77, 1,769.90 and 563.63

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Solution

The fourth proportional to 1,180.77, 1,769.90 and 563.63 is: 844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.77 : 1,769.90 = 563.63 : x
  2. Step 2: Convert to fraction form
    1,180.77/1,769.90 = 563.63/x
  3. Step 3: Cross multiply
    1,180.77x = 1,769.90 × 563.63
  4. Step 4: Simplify right side
    1,180.77x = 997,568.74
  5. Step 5: Solve for x
    x = 997,568.74/1,180.77
  6. Step 6: Final answer
    x = 844.85

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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.