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Finding the Fourth Proportional to 823.74, 1,236.07 and 337.13

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Solution

The fourth proportional to 823.74, 1,236.07 and 337.13 is: 505.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.74 : 1,236.07 = 337.13 : x
  2. Step 2: Convert to fraction form
    823.74/1,236.07 = 337.13/x
  3. Step 3: Cross multiply
    823.74x = 1,236.07 × 337.13
  4. Step 4: Simplify right side
    823.74x = 416,721.27
  5. Step 5: Solve for x
    x = 416,721.27/823.74
  6. Step 6: Final answer
    x = 505.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.