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Finding the Fourth Proportional to 839.36, 1,259.08 and 262.23

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Solution

The fourth proportional to 839.36, 1,259.08 and 262.23 is: 393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.36 : 1,259.08 = 262.23 : x
  2. Step 2: Convert to fraction form
    839.36/1,259.08 = 262.23/x
  3. Step 3: Cross multiply
    839.36x = 1,259.08 × 262.23
  4. Step 4: Simplify right side
    839.36x = 330,168.55
  5. Step 5: Solve for x
    x = 330,168.55/839.36
  6. Step 6: Final answer
    x = 393.36

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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.