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Finding the Fourth Proportional to 839.09, 1,256.63 and 467.97

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Solution

The fourth proportional to 839.09, 1,256.63 and 467.97 is: 700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.09 : 1,256.63 = 467.97 : x
  2. Step 2: Convert to fraction form
    839.09/1,256.63 = 467.97/x
  3. Step 3: Cross multiply
    839.09x = 1,256.63 × 467.97
  4. Step 4: Simplify right side
    839.09x = 588,066.31
  5. Step 5: Solve for x
    x = 588,066.31/839.09
  6. Step 6: Final answer
    x = 700.84

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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.