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Finding the Fourth Proportional to 859.44, 1,288.62 and 371.64

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Solution

The fourth proportional to 859.44, 1,288.62 and 371.64 is: 557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.44 : 1,288.62 = 371.64 : x
  2. Step 2: Convert to fraction form
    859.44/1,288.62 = 371.64/x
  3. Step 3: Cross multiply
    859.44x = 1,288.62 × 371.64
  4. Step 4: Simplify right side
    859.44x = 478,902.74
  5. Step 5: Solve for x
    x = 478,902.74/859.44
  6. Step 6: Final answer
    x = 557.23

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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.