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Finding the Fourth Proportional to 824.32, 1,234.32 and 563.72

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Solution

The fourth proportional to 824.32, 1,234.32 and 563.72 is: 844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.32 : 1,234.32 = 563.72 : x
  2. Step 2: Convert to fraction form
    824.32/1,234.32 = 563.72/x
  3. Step 3: Cross multiply
    824.32x = 1,234.32 × 563.72
  4. Step 4: Simplify right side
    824.32x = 695,810.87
  5. Step 5: Solve for x
    x = 695,810.87/824.32
  6. Step 6: Final answer
    x = 844.10

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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.