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Finding the Fourth Proportional to 1,304.31, 1,799.29 and 884.53

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Solution

The fourth proportional to 1,304.31, 1,799.29 and 884.53 is: 1,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.31 : 1,799.29 = 884.53 : x
  2. Step 2: Convert to fraction form
    1,304.31/1,799.29 = 884.53/x
  3. Step 3: Cross multiply
    1,304.31x = 1,799.29 × 884.53
  4. Step 4: Simplify right side
    1,304.31x = 1,591,525.98
  5. Step 5: Solve for x
    x = 1,591,525.98/1,304.31
  6. Step 6: Final answer
    x = 1,220.21

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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.