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Finding the Fourth Proportional to 1,334.04, 1,839.30 and 998.04

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Solution

The fourth proportional to 1,334.04, 1,839.30 and 998.04 is: 1,376.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.04 : 1,839.30 = 998.04 : x
  2. Step 2: Convert to fraction form
    1,334.04/1,839.30 = 998.04/x
  3. Step 3: Cross multiply
    1,334.04x = 1,839.30 × 998.04
  4. Step 4: Simplify right side
    1,334.04x = 1,835,694.97
  5. Step 5: Solve for x
    x = 1,835,694.97/1,334.04
  6. Step 6: Final answer
    x = 1,376.04

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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.