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Finding the Fourth Proportional to 693.24, 1,040.13 and 231.18

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Solution

The fourth proportional to 693.24, 1,040.13 and 231.18 is: 346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.24 : 1,040.13 = 231.18 : x
  2. Step 2: Convert to fraction form
    693.24/1,040.13 = 231.18/x
  3. Step 3: Cross multiply
    693.24x = 1,040.13 × 231.18
  4. Step 4: Simplify right side
    693.24x = 240,457.25
  5. Step 5: Solve for x
    x = 240,457.25/693.24
  6. Step 6: Final answer
    x = 346.86

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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.