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Finding the Fourth Proportional to 1,180.50, 1,629.02 and 649.45

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Solution

The fourth proportional to 1,180.50, 1,629.02 and 649.45 is: 896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.50 : 1,629.02 = 649.45 : x
  2. Step 2: Convert to fraction form
    1,180.50/1,629.02 = 649.45/x
  3. Step 3: Cross multiply
    1,180.50x = 1,629.02 × 649.45
  4. Step 4: Simplify right side
    1,180.50x = 1,057,964.59
  5. Step 5: Solve for x
    x = 1,057,964.59/1,180.50
  6. Step 6: Final answer
    x = 896.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.