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Finding the Fourth Proportional to 905.41, 1,359.32 and 580.93

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Solution

The fourth proportional to 905.41, 1,359.32 and 580.93 is: 872.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.41 : 1,359.32 = 580.93 : x
  2. Step 2: Convert to fraction form
    905.41/1,359.32 = 580.93/x
  3. Step 3: Cross multiply
    905.41x = 1,359.32 × 580.93
  4. Step 4: Simplify right side
    905.41x = 789,669.77
  5. Step 5: Solve for x
    x = 789,669.77/905.41
  6. Step 6: Final answer
    x = 872.17

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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.