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Finding the Fourth Proportional to 1,180.13, 1,628.69 and 649.12

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Solution

The fourth proportional to 1,180.13, 1,628.69 and 649.12 is: 895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.13 : 1,628.69 = 649.12 : x
  2. Step 2: Convert to fraction form
    1,180.13/1,628.69 = 649.12/x
  3. Step 3: Cross multiply
    1,180.13x = 1,628.69 × 649.12
  4. Step 4: Simplify right side
    1,180.13x = 1,057,215.25
  5. Step 5: Solve for x
    x = 1,057,215.25/1,180.13
  6. Step 6: Final answer
    x = 895.85

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