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Finding the Fourth Proportional to 859.32, 1,288.21 and 396.86

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Solution

The fourth proportional to 859.32, 1,288.21 and 396.86 is: 594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.32 : 1,288.21 = 396.86 : x
  2. Step 2: Convert to fraction form
    859.32/1,288.21 = 396.86/x
  3. Step 3: Cross multiply
    859.32x = 1,288.21 × 396.86
  4. Step 4: Simplify right side
    859.32x = 511,239.02
  5. Step 5: Solve for x
    x = 511,239.02/859.32
  6. Step 6: Final answer
    x = 594.93

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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.