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Finding the Fourth Proportional to 1,494.96, 2,063.14 and 997.28

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Solution

The fourth proportional to 1,494.96, 2,063.14 and 997.28 is: 1,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.96 : 2,063.14 = 997.28 : x
  2. Step 2: Convert to fraction form
    1,494.96/2,063.14 = 997.28/x
  3. Step 3: Cross multiply
    1,494.96x = 2,063.14 × 997.28
  4. Step 4: Simplify right side
    1,494.96x = 2,057,523.19
  5. Step 5: Solve for x
    x = 2,057,523.19/1,494.96
  6. Step 6: Final answer
    x = 1,376.31

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Why These Related Problems?

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