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Finding the Fourth Proportional to 693.75, 1,040.78 and 206.76

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Solution

The fourth proportional to 693.75, 1,040.78 and 206.76 is: 310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.75 : 1,040.78 = 206.76 : x
  2. Step 2: Convert to fraction form
    693.75/1,040.78 = 206.76/x
  3. Step 3: Cross multiply
    693.75x = 1,040.78 × 206.76
  4. Step 4: Simplify right side
    693.75x = 215,191.67
  5. Step 5: Solve for x
    x = 215,191.67/693.75
  6. Step 6: Final answer
    x = 310.19

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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.