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Finding the Fourth Proportional to 824.22, 1,234.96 and 580.32

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Solution

The fourth proportional to 824.22, 1,234.96 and 580.32 is: 869.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.22 : 1,234.96 = 580.32 : x
  2. Step 2: Convert to fraction form
    824.22/1,234.96 = 580.32/x
  3. Step 3: Cross multiply
    824.22x = 1,234.96 × 580.32
  4. Step 4: Simplify right side
    824.22x = 716,670.54
  5. Step 5: Solve for x
    x = 716,670.54/824.22
  6. Step 6: Final answer
    x = 869.51

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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.