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Finding the Fourth Proportional to 852.34, 1,280.86 and 745.22

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Solution

The fourth proportional to 852.34, 1,280.86 and 745.22 is: 1,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.34 : 1,280.86 = 745.22 : x
  2. Step 2: Convert to fraction form
    852.34/1,280.86 = 745.22/x
  3. Step 3: Cross multiply
    852.34x = 1,280.86 × 745.22
  4. Step 4: Simplify right side
    852.34x = 954,522.49
  5. Step 5: Solve for x
    x = 954,522.49/852.34
  6. Step 6: Final answer
    x = 1,119.88

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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.