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Finding the Fourth Proportional to 843.95, 1,264.88 and 381.60

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Solution

The fourth proportional to 843.95, 1,264.88 and 381.60 is: 571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.95 : 1,264.88 = 381.60 : x
  2. Step 2: Convert to fraction form
    843.95/1,264.88 = 381.60/x
  3. Step 3: Cross multiply
    843.95x = 1,264.88 × 381.60
  4. Step 4: Simplify right side
    843.95x = 482,679.16
  5. Step 5: Solve for x
    x = 482,679.16/843.95
  6. Step 6: Final answer
    x = 571.93

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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.