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Finding the Fourth Proportional to 807.65, 1,211.20 and 391.38

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Solution

The fourth proportional to 807.65, 1,211.20 and 391.38 is: 586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.65 : 1,211.20 = 391.38 : x
  2. Step 2: Convert to fraction form
    807.65/1,211.20 = 391.38/x
  3. Step 3: Cross multiply
    807.65x = 1,211.20 × 391.38
  4. Step 4: Simplify right side
    807.65x = 474,042.95
  5. Step 5: Solve for x
    x = 474,042.95/807.65
  6. Step 6: Final answer
    x = 586.94

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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.