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Finding the Fourth Proportional to 824.64, 1,236.93 and 247.50

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Solution

The fourth proportional to 824.64, 1,236.93 and 247.50 is: 371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.64 : 1,236.93 = 247.50 : x
  2. Step 2: Convert to fraction form
    824.64/1,236.93 = 247.50/x
  3. Step 3: Cross multiply
    824.64x = 1,236.93 × 247.50
  4. Step 4: Simplify right side
    824.64x = 306,140.18
  5. Step 5: Solve for x
    x = 306,140.18/824.64
  6. Step 6: Final answer
    x = 371.24

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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.