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Finding the Fourth Proportional to 674.08, 1,011.84 and 633.76

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Solution

The fourth proportional to 674.08, 1,011.84 and 633.76 is: 951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.08 : 1,011.84 = 633.76 : x
  2. Step 2: Convert to fraction form
    674.08/1,011.84 = 633.76/x
  3. Step 3: Cross multiply
    674.08x = 1,011.84 × 633.76
  4. Step 4: Simplify right side
    674.08x = 641,263.72
  5. Step 5: Solve for x
    x = 641,263.72/674.08
  6. Step 6: Final answer
    x = 951.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.