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Finding the Fourth Proportional to 693.31, 1,040.34 and 282.73

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Solution

The fourth proportional to 693.31, 1,040.34 and 282.73 is: 424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.31 : 1,040.34 = 282.73 : x
  2. Step 2: Convert to fraction form
    693.31/1,040.34 = 282.73/x
  3. Step 3: Cross multiply
    693.31x = 1,040.34 × 282.73
  4. Step 4: Simplify right side
    693.31x = 294,135.33
  5. Step 5: Solve for x
    x = 294,135.33/693.31
  6. Step 6: Final answer
    x = 424.25

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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.