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Finding the Fourth Proportional to 854.73, 1,284.21 and 546.71

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Solution

The fourth proportional to 854.73, 1,284.21 and 546.71 is: 821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.73 : 1,284.21 = 546.71 : x
  2. Step 2: Convert to fraction form
    854.73/1,284.21 = 546.71/x
  3. Step 3: Cross multiply
    854.73x = 1,284.21 × 546.71
  4. Step 4: Simplify right side
    854.73x = 702,084.03
  5. Step 5: Solve for x
    x = 702,084.03/854.73
  6. Step 6: Final answer
    x = 821.41

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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.