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Finding the Fourth Proportional to 909.39, 1,361.25 and 648.57

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Solution

The fourth proportional to 909.39, 1,361.25 and 648.57 is: 970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.39 : 1,361.25 = 648.57 : x
  2. Step 2: Convert to fraction form
    909.39/1,361.25 = 648.57/x
  3. Step 3: Cross multiply
    909.39x = 1,361.25 × 648.57
  4. Step 4: Simplify right side
    909.39x = 882,865.91
  5. Step 5: Solve for x
    x = 882,865.91/909.39
  6. Step 6: Final answer
    x = 970.83

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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.