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Finding the Fourth Proportional to 838.70, 1,258.25 and 824.75

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Solution

The fourth proportional to 838.70, 1,258.25 and 824.75 is: 1,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.70 : 1,258.25 = 824.75 : x
  2. Step 2: Convert to fraction form
    838.70/1,258.25 = 824.75/x
  3. Step 3: Cross multiply
    838.70x = 1,258.25 × 824.75
  4. Step 4: Simplify right side
    838.70x = 1,037,745.65
  5. Step 5: Solve for x
    x = 1,037,745.65/838.70
  6. Step 6: Final answer
    x = 1,237.33

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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.