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Finding the Fourth Proportional to 859.01, 1,287.45 and 396.16

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Solution

The fourth proportional to 859.01, 1,287.45 and 396.16 is: 593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.01 : 1,287.45 = 396.16 : x
  2. Step 2: Convert to fraction form
    859.01/1,287.45 = 396.16/x
  3. Step 3: Cross multiply
    859.01x = 1,287.45 × 396.16
  4. Step 4: Simplify right side
    859.01x = 510,032.97
  5. Step 5: Solve for x
    x = 510,032.97/859.01
  6. Step 6: Final answer
    x = 593.75

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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.