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Finding the Fourth Proportional to 1,663.97, 2,496.11 and 798.29

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Solution

The fourth proportional to 1,663.97, 2,496.11 and 798.29 is: 1,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.97 : 2,496.11 = 798.29 : x
  2. Step 2: Convert to fraction form
    1,663.97/2,496.11 = 798.29/x
  3. Step 3: Cross multiply
    1,663.97x = 2,496.11 × 798.29
  4. Step 4: Simplify right side
    1,663.97x = 1,992,603.18
  5. Step 5: Solve for x
    x = 1,992,603.18/1,663.97
  6. Step 6: Final answer
    x = 1,197.50

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1.5x scale

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.