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Finding the Fourth Proportional to 824.96, 1,238.25 and 435.56

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Solution

The fourth proportional to 824.96, 1,238.25 and 435.56 is: 653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.96 : 1,238.25 = 435.56 : x
  2. Step 2: Convert to fraction form
    824.96/1,238.25 = 435.56/x
  3. Step 3: Cross multiply
    824.96x = 1,238.25 × 435.56
  4. Step 4: Simplify right side
    824.96x = 539,325.98
  5. Step 5: Solve for x
    x = 539,325.98/824.96
  6. Step 6: Final answer
    x = 653.76

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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.