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Finding the Fourth Proportional to 874.84, 1,308.21 and 677.61

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Solution

The fourth proportional to 874.84, 1,308.21 and 677.61 is: 1,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.84 : 1,308.21 = 677.61 : x
  2. Step 2: Convert to fraction form
    874.84/1,308.21 = 677.61/x
  3. Step 3: Cross multiply
    874.84x = 1,308.21 × 677.61
  4. Step 4: Simplify right side
    874.84x = 886,446.25
  5. Step 5: Solve for x
    x = 886,446.25/874.84
  6. Step 6: Final answer
    x = 1,013.27

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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.