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Finding the Fourth Proportional to 1,257.75, 1,884.18 and 823.59

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Solution

The fourth proportional to 1,257.75, 1,884.18 and 823.59 is: 1,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.75 : 1,884.18 = 823.59 : x
  2. Step 2: Convert to fraction form
    1,257.75/1,884.18 = 823.59/x
  3. Step 3: Cross multiply
    1,257.75x = 1,884.18 × 823.59
  4. Step 4: Simplify right side
    1,257.75x = 1,551,795.78
  5. Step 5: Solve for x
    x = 1,551,795.78/1,257.75
  6. Step 6: Final answer
    x = 1,233.78

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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.