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Finding the Fourth Proportional to 1,195.00, 1,649.12 and 722.90

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Solution

The fourth proportional to 1,195.00, 1,649.12 and 722.90 is: 997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.00 : 1,649.12 = 722.90 : x
  2. Step 2: Convert to fraction form
    1,195.00/1,649.12 = 722.90/x
  3. Step 3: Cross multiply
    1,195.00x = 1,649.12 × 722.90
  4. Step 4: Simplify right side
    1,195.00x = 1,192,149.36
  5. Step 5: Solve for x
    x = 1,192,149.36/1,195.00
  6. Step 6: Final answer
    x = 997.62

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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.