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Finding the Fourth Proportional to 807.99, 1,211.97 and 260.16

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Solution

The fourth proportional to 807.99, 1,211.97 and 260.16 is: 390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.99 : 1,211.97 = 260.16 : x
  2. Step 2: Convert to fraction form
    807.99/1,211.97 = 260.16/x
  3. Step 3: Cross multiply
    807.99x = 1,211.97 × 260.16
  4. Step 4: Simplify right side
    807.99x = 315,306.12
  5. Step 5: Solve for x
    x = 315,306.12/807.99
  6. Step 6: Final answer
    x = 390.24

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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.