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Finding the Fourth Proportional to 854.22, 1,280.10 and 443.18

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Solution

The fourth proportional to 854.22, 1,280.10 and 443.18 is: 664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.22 : 1,280.10 = 443.18 : x
  2. Step 2: Convert to fraction form
    854.22/1,280.10 = 443.18/x
  3. Step 3: Cross multiply
    854.22x = 1,280.10 × 443.18
  4. Step 4: Simplify right side
    854.22x = 567,314.72
  5. Step 5: Solve for x
    x = 567,314.72/854.22
  6. Step 6: Final answer
    x = 664.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.