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Finding the Fourth Proportional to 899.72, 1,347.81 and 801.76

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Solution

The fourth proportional to 899.72, 1,347.81 and 801.76 is: 1,201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.72 : 1,347.81 = 801.76 : x
  2. Step 2: Convert to fraction form
    899.72/1,347.81 = 801.76/x
  3. Step 3: Cross multiply
    899.72x = 1,347.81 × 801.76
  4. Step 4: Simplify right side
    899.72x = 1,080,620.15
  5. Step 5: Solve for x
    x = 1,080,620.15/899.72
  6. Step 6: Final answer
    x = 1,201.06

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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.