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Finding the Fourth Proportional to 1,625.85, 2,439.59 and 803.97

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Solution

The fourth proportional to 1,625.85, 2,439.59 and 803.97 is: 1,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.85 : 2,439.59 = 803.97 : x
  2. Step 2: Convert to fraction form
    1,625.85/2,439.59 = 803.97/x
  3. Step 3: Cross multiply
    1,625.85x = 2,439.59 × 803.97
  4. Step 4: Simplify right side
    1,625.85x = 1,961,353.15
  5. Step 5: Solve for x
    x = 1,961,353.15/1,625.85
  6. Step 6: Final answer
    x = 1,206.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.