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Finding the Fourth Proportional to 1,663.85, 2,496.05 and 798.17

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Solution

The fourth proportional to 1,663.85, 2,496.05 and 798.17 is: 1,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.85 : 2,496.05 = 798.17 : x
  2. Step 2: Convert to fraction form
    1,663.85/2,496.05 = 798.17/x
  3. Step 3: Cross multiply
    1,663.85x = 2,496.05 × 798.17
  4. Step 4: Simplify right side
    1,663.85x = 1,992,255.76
  5. Step 5: Solve for x
    x = 1,992,255.76/1,663.85
  6. Step 6: Final answer
    x = 1,197.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.