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Finding the Fourth Proportional to 823.74, 1,235.01 and 499.05

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Solution

The fourth proportional to 823.74, 1,235.01 and 499.05 is: 748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.74 : 1,235.01 = 499.05 : x
  2. Step 2: Convert to fraction form
    823.74/1,235.01 = 499.05/x
  3. Step 3: Cross multiply
    823.74x = 1,235.01 × 499.05
  4. Step 4: Simplify right side
    823.74x = 616,331.74
  5. Step 5: Solve for x
    x = 616,331.74/823.74
  6. Step 6: Final answer
    x = 748.21

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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.