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Finding the Fourth Proportional to 824.63, 1,236.95 and 247.50

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Solution

The fourth proportional to 824.63, 1,236.95 and 247.50 is: 371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.63 : 1,236.95 = 247.50 : x
  2. Step 2: Convert to fraction form
    824.63/1,236.95 = 247.50/x
  3. Step 3: Cross multiply
    824.63x = 1,236.95 × 247.50
  4. Step 4: Simplify right side
    824.63x = 306,143.89
  5. Step 5: Solve for x
    x = 306,143.89/824.63
  6. Step 6: Final answer
    x = 371.25

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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.