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Finding the Fourth Proportional to 859.92, 1,288.02 and 567.09

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Solution

The fourth proportional to 859.92, 1,288.02 and 567.09 is: 849.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.92 : 1,288.02 = 567.09 : x
  2. Step 2: Convert to fraction form
    859.92/1,288.02 = 567.09/x
  3. Step 3: Cross multiply
    859.92x = 1,288.02 × 567.09
  4. Step 4: Simplify right side
    859.92x = 730,423.26
  5. Step 5: Solve for x
    x = 730,423.26/859.92
  6. Step 6: Final answer
    x = 849.41

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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.