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Finding the Fourth Proportional to 824.06, 1,233.51 and 457.67

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Solution

The fourth proportional to 824.06, 1,233.51 and 457.67 is: 685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.06 : 1,233.51 = 457.67 : x
  2. Step 2: Convert to fraction form
    824.06/1,233.51 = 457.67/x
  3. Step 3: Cross multiply
    824.06x = 1,233.51 × 457.67
  4. Step 4: Simplify right side
    824.06x = 564,540.52
  5. Step 5: Solve for x
    x = 564,540.52/824.06
  6. Step 6: Final answer
    x = 685.07

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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.