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Finding the Fourth Proportional to 899.95, 1,243.91 and 820.97

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Solution

The fourth proportional to 899.95, 1,243.91 and 820.97 is: 1,134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.95 : 1,243.91 = 820.97 : x
  2. Step 2: Convert to fraction form
    899.95/1,243.91 = 820.97/x
  3. Step 3: Cross multiply
    899.95x = 1,243.91 × 820.97
  4. Step 4: Simplify right side
    899.95x = 1,021,212.79
  5. Step 5: Solve for x
    x = 1,021,212.79/899.95
  6. Step 6: Final answer
    x = 1,134.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.