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Finding the Fourth Proportional to 896.35, 1,344.53 and 587.29

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Solution

The fourth proportional to 896.35, 1,344.53 and 587.29 is: 880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.35 : 1,344.53 = 587.29 : x
  2. Step 2: Convert to fraction form
    896.35/1,344.53 = 587.29/x
  3. Step 3: Cross multiply
    896.35x = 1,344.53 × 587.29
  4. Step 4: Simplify right side
    896.35x = 789,629.02
  5. Step 5: Solve for x
    x = 789,629.02/896.35
  6. Step 6: Final answer
    x = 880.94

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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.