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Finding the Fourth Proportional to 925.67, 1,388.73 and 823.73

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Solution

The fourth proportional to 925.67, 1,388.73 and 823.73 is: 1,235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.67 : 1,388.73 = 823.73 : x
  2. Step 2: Convert to fraction form
    925.67/1,388.73 = 823.73/x
  3. Step 3: Cross multiply
    925.67x = 1,388.73 × 823.73
  4. Step 4: Simplify right side
    925.67x = 1,143,931.62
  5. Step 5: Solve for x
    x = 1,143,931.62/925.67
  6. Step 6: Final answer
    x = 1,235.79

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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.