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Finding the Fourth Proportional to 899.86, 1,233.70 and 883.46

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Solution

The fourth proportional to 899.86, 1,233.70 and 883.46 is: 1,211.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.86 : 1,233.70 = 883.46 : x
  2. Step 2: Convert to fraction form
    899.86/1,233.70 = 883.46/x
  3. Step 3: Cross multiply
    899.86x = 1,233.70 × 883.46
  4. Step 4: Simplify right side
    899.86x = 1,089,918.43
  5. Step 5: Solve for x
    x = 1,089,918.43/899.86
  6. Step 6: Final answer
    x = 1,211.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.