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Finding the Fourth Proportional to 1,003.31, 1,498.87 and 839.29

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Solution

The fourth proportional to 1,003.31, 1,498.87 and 839.29 is: 1,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.31 : 1,498.87 = 839.29 : x
  2. Step 2: Convert to fraction form
    1,003.31/1,498.87 = 839.29/x
  3. Step 3: Cross multiply
    1,003.31x = 1,498.87 × 839.29
  4. Step 4: Simplify right side
    1,003.31x = 1,257,986.60
  5. Step 5: Solve for x
    x = 1,257,986.60/1,003.31
  6. Step 6: Final answer
    x = 1,253.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.