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Finding the Fourth Proportional to 809.95, 1,214.93 and 262.13

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Solution

The fourth proportional to 809.95, 1,214.93 and 262.13 is: 393.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.95 : 1,214.93 = 262.13 : x
  2. Step 2: Convert to fraction form
    809.95/1,214.93 = 262.13/x
  3. Step 3: Cross multiply
    809.95x = 1,214.93 × 262.13
  4. Step 4: Simplify right side
    809.95x = 318,469.60
  5. Step 5: Solve for x
    x = 318,469.60/809.95
  6. Step 6: Final answer
    x = 393.20

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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.