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Finding the Fourth Proportional to 696.14, 1,043.29 and 284.81

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Solution

The fourth proportional to 696.14, 1,043.29 and 284.81 is: 426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.14 : 1,043.29 = 284.81 : x
  2. Step 2: Convert to fraction form
    696.14/1,043.29 = 284.81/x
  3. Step 3: Cross multiply
    696.14x = 1,043.29 × 284.81
  4. Step 4: Simplify right side
    696.14x = 297,134.56
  5. Step 5: Solve for x
    x = 297,134.56/696.14
  6. Step 6: Final answer
    x = 426.83

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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.