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Finding the Fourth Proportional to 823.38, 1,233.66 and 719.49

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Solution

The fourth proportional to 823.38, 1,233.66 and 719.49 is: 1,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.38 : 1,233.66 = 719.49 : x
  2. Step 2: Convert to fraction form
    823.38/1,233.66 = 719.49/x
  3. Step 3: Cross multiply
    823.38x = 1,233.66 × 719.49
  4. Step 4: Simplify right side
    823.38x = 887,606.03
  5. Step 5: Solve for x
    x = 887,606.03/823.38
  6. Step 6: Final answer
    x = 1,078.00

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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.