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Finding the Fourth Proportional to 893.20, 1,336.35 and 546.46

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Solution

The fourth proportional to 893.20, 1,336.35 and 546.46 is: 817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.20 : 1,336.35 = 546.46 : x
  2. Step 2: Convert to fraction form
    893.20/1,336.35 = 546.46/x
  3. Step 3: Cross multiply
    893.20x = 1,336.35 × 546.46
  4. Step 4: Simplify right side
    893.20x = 730,261.82
  5. Step 5: Solve for x
    x = 730,261.82/893.20
  6. Step 6: Final answer
    x = 817.58

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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.