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Finding the Fourth Proportional to 859.01, 1,287.29 and 396.70

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Solution

The fourth proportional to 859.01, 1,287.29 and 396.70 is: 594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.01 : 1,287.29 = 396.70 : x
  2. Step 2: Convert to fraction form
    859.01/1,287.29 = 396.70/x
  3. Step 3: Cross multiply
    859.01x = 1,287.29 × 396.70
  4. Step 4: Simplify right side
    859.01x = 510,665.72
  5. Step 5: Solve for x
    x = 510,665.72/859.01
  6. Step 6: Final answer
    x = 594.49

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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.