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Finding the Fourth Proportional to 859.82, 1,288.81 and 814.25

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Solution

The fourth proportional to 859.82, 1,288.81 and 814.25 is: 1,220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.82 : 1,288.81 = 814.25 : x
  2. Step 2: Convert to fraction form
    859.82/1,288.81 = 814.25/x
  3. Step 3: Cross multiply
    859.82x = 1,288.81 × 814.25
  4. Step 4: Simplify right side
    859.82x = 1,049,417.78
  5. Step 5: Solve for x
    x = 1,049,417.78/859.82
  6. Step 6: Final answer
    x = 1,220.52

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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.