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Finding the Fourth Proportional to 823.39, 1,233.69 and 719.53

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Solution

The fourth proportional to 823.39, 1,233.69 and 719.53 is: 1,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.39 : 1,233.69 = 719.53 : x
  2. Step 2: Convert to fraction form
    823.39/1,233.69 = 719.53/x
  3. Step 3: Cross multiply
    823.39x = 1,233.69 × 719.53
  4. Step 4: Simplify right side
    823.39x = 887,676.97
  5. Step 5: Solve for x
    x = 887,676.97/823.39
  6. Step 6: Final answer
    x = 1,078.08

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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.