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Finding the Fourth Proportional to 800.23, 1,201.26 and 754.67

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Solution

The fourth proportional to 800.23, 1,201.26 and 754.67 is: 1,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.23 : 1,201.26 = 754.67 : x
  2. Step 2: Convert to fraction form
    800.23/1,201.26 = 754.67/x
  3. Step 3: Cross multiply
    800.23x = 1,201.26 × 754.67
  4. Step 4: Simplify right side
    800.23x = 906,547.59
  5. Step 5: Solve for x
    x = 906,547.59/800.23
  6. Step 6: Final answer
    x = 1,132.86

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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.