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Finding the Fourth Proportional to 859.08, 1,288.28 and 396.74

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Solution

The fourth proportional to 859.08, 1,288.28 and 396.74 is: 594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.08 : 1,288.28 = 396.74 : x
  2. Step 2: Convert to fraction form
    859.08/1,288.28 = 396.74/x
  3. Step 3: Cross multiply
    859.08x = 1,288.28 × 396.74
  4. Step 4: Simplify right side
    859.08x = 511,106.25
  5. Step 5: Solve for x
    x = 511,106.25/859.08
  6. Step 6: Final answer
    x = 594.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.