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Finding the Fourth Proportional to 823.11, 1,233.61 and 616.06

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Solution

The fourth proportional to 823.11, 1,233.61 and 616.06 is: 923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.11 : 1,233.61 = 616.06 : x
  2. Step 2: Convert to fraction form
    823.11/1,233.61 = 616.06/x
  3. Step 3: Cross multiply
    823.11x = 1,233.61 × 616.06
  4. Step 4: Simplify right side
    823.11x = 759,968.53
  5. Step 5: Solve for x
    x = 759,968.53/823.11
  6. Step 6: Final answer
    x = 923.29

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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.