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Finding the Fourth Proportional to 1,496.33, 2,064.55 and 998.63

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Solution

The fourth proportional to 1,496.33, 2,064.55 and 998.63 is: 1,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.33 : 2,064.55 = 998.63 : x
  2. Step 2: Convert to fraction form
    1,496.33/2,064.55 = 998.63/x
  3. Step 3: Cross multiply
    1,496.33x = 2,064.55 × 998.63
  4. Step 4: Simplify right side
    1,496.33x = 2,061,721.57
  5. Step 5: Solve for x
    x = 2,061,721.57/1,496.33
  6. Step 6: Final answer
    x = 1,377.85

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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.