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Finding the Fourth Proportional to 807.85, 1,203.76 and 768.67

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Solution

The fourth proportional to 807.85, 1,203.76 and 768.67 is: 1,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.85 : 1,203.76 = 768.67 : x
  2. Step 2: Convert to fraction form
    807.85/1,203.76 = 768.67/x
  3. Step 3: Cross multiply
    807.85x = 1,203.76 × 768.67
  4. Step 4: Simplify right side
    807.85x = 925,294.20
  5. Step 5: Solve for x
    x = 925,294.20/807.85
  6. Step 6: Final answer
    x = 1,145.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.