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Finding the Fourth Proportional to 899.01, 1,344.87 and 609.84

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Solution

The fourth proportional to 899.01, 1,344.87 and 609.84 is: 912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.01 : 1,344.87 = 609.84 : x
  2. Step 2: Convert to fraction form
    899.01/1,344.87 = 609.84/x
  3. Step 3: Cross multiply
    899.01x = 1,344.87 × 609.84
  4. Step 4: Simplify right side
    899.01x = 820,155.52
  5. Step 5: Solve for x
    x = 820,155.52/899.01
  6. Step 6: Final answer
    x = 912.29

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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.