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Finding the Fourth Proportional to 893.45, 1,342.05 and 546.97

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Solution

The fourth proportional to 893.45, 1,342.05 and 546.97 is: 821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.45 : 1,342.05 = 546.97 : x
  2. Step 2: Convert to fraction form
    893.45/1,342.05 = 546.97/x
  3. Step 3: Cross multiply
    893.45x = 1,342.05 × 546.97
  4. Step 4: Simplify right side
    893.45x = 734,061.09
  5. Step 5: Solve for x
    x = 734,061.09/893.45
  6. Step 6: Final answer
    x = 821.60

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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.