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Finding the Fourth Proportional to 823.93, 1,234.93 and 499.51

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Solution

The fourth proportional to 823.93, 1,234.93 and 499.51 is: 748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.93 : 1,234.93 = 499.51 : x
  2. Step 2: Convert to fraction form
    823.93/1,234.93 = 499.51/x
  3. Step 3: Cross multiply
    823.93x = 1,234.93 × 499.51
  4. Step 4: Simplify right side
    823.93x = 616,859.88
  5. Step 5: Solve for x
    x = 616,859.88/823.93
  6. Step 6: Final answer
    x = 748.68

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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.