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Finding the Fourth Proportional to 859.34, 1,289.36 and 512.87

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Solution

The fourth proportional to 859.34, 1,289.36 and 512.87 is: 769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.34 : 1,289.36 = 512.87 : x
  2. Step 2: Convert to fraction form
    859.34/1,289.36 = 512.87/x
  3. Step 3: Cross multiply
    859.34x = 1,289.36 × 512.87
  4. Step 4: Simplify right side
    859.34x = 661,268.90
  5. Step 5: Solve for x
    x = 661,268.90/859.34
  6. Step 6: Final answer
    x = 769.51

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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.