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Finding the Fourth Proportional to 912.34, 1,372.56 and 899.38

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Solution

The fourth proportional to 912.34, 1,372.56 and 899.38 is: 1,353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.34 : 1,372.56 = 899.38 : x
  2. Step 2: Convert to fraction form
    912.34/1,372.56 = 899.38/x
  3. Step 3: Cross multiply
    912.34x = 1,372.56 × 899.38
  4. Step 4: Simplify right side
    912.34x = 1,234,453.01
  5. Step 5: Solve for x
    x = 1,234,453.01/912.34
  6. Step 6: Final answer
    x = 1,353.06

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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.