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Finding the Fourth Proportional to 1,094.58, 1,640.49 and 546.91

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Solution

The fourth proportional to 1,094.58, 1,640.49 and 546.91 is: 819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.58 : 1,640.49 = 546.91 : x
  2. Step 2: Convert to fraction form
    1,094.58/1,640.49 = 546.91/x
  3. Step 3: Cross multiply
    1,094.58x = 1,640.49 × 546.91
  4. Step 4: Simplify right side
    1,094.58x = 897,201.75
  5. Step 5: Solve for x
    x = 897,201.75/1,094.58
  6. Step 6: Final answer
    x = 819.68

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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.