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Finding the Fourth Proportional to 1,180.02, 1,769.61 and 563.22

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Solution

The fourth proportional to 1,180.02, 1,769.61 and 563.22 is: 844.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.02 : 1,769.61 = 563.22 : x
  2. Step 2: Convert to fraction form
    1,180.02/1,769.61 = 563.22/x
  3. Step 3: Cross multiply
    1,180.02x = 1,769.61 × 563.22
  4. Step 4: Simplify right side
    1,180.02x = 996,679.74
  5. Step 5: Solve for x
    x = 996,679.74/1,180.02
  6. Step 6: Final answer
    x = 844.63

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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.