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Finding the Fourth Proportional to 859.77, 1,288.71 and 513.63

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Solution

The fourth proportional to 859.77, 1,288.71 and 513.63 is: 769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.77 : 1,288.71 = 513.63 : x
  2. Step 2: Convert to fraction form
    859.77/1,288.71 = 513.63/x
  3. Step 3: Cross multiply
    859.77x = 1,288.71 × 513.63
  4. Step 4: Simplify right side
    859.77x = 661,920.12
  5. Step 5: Solve for x
    x = 661,920.12/859.77
  6. Step 6: Final answer
    x = 769.88

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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.