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Finding the Fourth Proportional to 852.64, 1,280.24 and 811.46

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Solution

The fourth proportional to 852.64, 1,280.24 and 811.46 is: 1,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.64 : 1,280.24 = 811.46 : x
  2. Step 2: Convert to fraction form
    852.64/1,280.24 = 811.46/x
  3. Step 3: Cross multiply
    852.64x = 1,280.24 × 811.46
  4. Step 4: Simplify right side
    852.64x = 1,038,863.55
  5. Step 5: Solve for x
    x = 1,038,863.55/852.64
  6. Step 6: Final answer
    x = 1,218.41

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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.