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Finding the Fourth Proportional to 969.22, 1,337.67 and 654.94

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Solution

The fourth proportional to 969.22, 1,337.67 and 654.94 is: 903.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.22 : 1,337.67 = 654.94 : x
  2. Step 2: Convert to fraction form
    969.22/1,337.67 = 654.94/x
  3. Step 3: Cross multiply
    969.22x = 1,337.67 × 654.94
  4. Step 4: Simplify right side
    969.22x = 876,083.63
  5. Step 5: Solve for x
    x = 876,083.63/969.22
  6. Step 6: Final answer
    x = 903.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.