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Finding the Fourth Proportional to 859.75, 1,288.54 and 372.23

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Solution

The fourth proportional to 859.75, 1,288.54 and 372.23 is: 557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.75 : 1,288.54 = 372.23 : x
  2. Step 2: Convert to fraction form
    859.75/1,288.54 = 372.23/x
  3. Step 3: Cross multiply
    859.75x = 1,288.54 × 372.23
  4. Step 4: Simplify right side
    859.75x = 479,632.10
  5. Step 5: Solve for x
    x = 479,632.10/859.75
  6. Step 6: Final answer
    x = 557.88

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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.