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Finding the Fourth Proportional to 891.83, 1,230.68 and 513.70

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Solution

The fourth proportional to 891.83, 1,230.68 and 513.70 is: 708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.83 : 1,230.68 = 513.70 : x
  2. Step 2: Convert to fraction form
    891.83/1,230.68 = 513.70/x
  3. Step 3: Cross multiply
    891.83x = 1,230.68 × 513.70
  4. Step 4: Simplify right side
    891.83x = 632,198.52
  5. Step 5: Solve for x
    x = 632,198.52/891.83
  6. Step 6: Final answer
    x = 708.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.