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Finding the Fourth Proportional to 899.23, 1,349.96 and 747.00

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Solution

The fourth proportional to 899.23, 1,349.96 and 747.00 is: 1,121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.23 : 1,349.96 = 747.00 : x
  2. Step 2: Convert to fraction form
    899.23/1,349.96 = 747.00/x
  3. Step 3: Cross multiply
    899.23x = 1,349.96 × 747.00
  4. Step 4: Simplify right side
    899.23x = 1,008,416.26
  5. Step 5: Solve for x
    x = 1,008,416.26/899.23
  6. Step 6: Final answer
    x = 1,121.42

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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.