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Finding the Fourth Proportional to 899.72, 1,350.24 and 669.14

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Solution

The fourth proportional to 899.72, 1,350.24 and 669.14 is: 1,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.72 : 1,350.24 = 669.14 : x
  2. Step 2: Convert to fraction form
    899.72/1,350.24 = 669.14/x
  3. Step 3: Cross multiply
    899.72x = 1,350.24 × 669.14
  4. Step 4: Simplify right side
    899.72x = 903,499.59
  5. Step 5: Solve for x
    x = 903,499.59/899.72
  6. Step 6: Final answer
    x = 1,004.20

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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.