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Finding the Fourth Proportional to 823.68, 1,234.08 and 499.32

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Solution

The fourth proportional to 823.68, 1,234.08 and 499.32 is: 748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.68 : 1,234.08 = 499.32 : x
  2. Step 2: Convert to fraction form
    823.68/1,234.08 = 499.32/x
  3. Step 3: Cross multiply
    823.68x = 1,234.08 × 499.32
  4. Step 4: Simplify right side
    823.68x = 616,200.83
  5. Step 5: Solve for x
    x = 616,200.83/823.68
  6. Step 6: Final answer
    x = 748.11

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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.