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Finding the Fourth Proportional to 675.17, 1,011.83 and 284.85

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Solution

The fourth proportional to 675.17, 1,011.83 and 284.85 is: 426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.17 : 1,011.83 = 284.85 : x
  2. Step 2: Convert to fraction form
    675.17/1,011.83 = 284.85/x
  3. Step 3: Cross multiply
    675.17x = 1,011.83 × 284.85
  4. Step 4: Simplify right side
    675.17x = 288,219.78
  5. Step 5: Solve for x
    x = 288,219.78/675.17
  6. Step 6: Final answer
    x = 426.88

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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.