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Finding the Fourth Proportional to 1,094.91, 1,642.37 and 546.54

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Solution

The fourth proportional to 1,094.91, 1,642.37 and 546.54 is: 819.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.91 : 1,642.37 = 546.54 : x
  2. Step 2: Convert to fraction form
    1,094.91/1,642.37 = 546.54/x
  3. Step 3: Cross multiply
    1,094.91x = 1,642.37 × 546.54
  4. Step 4: Simplify right side
    1,094.91x = 897,618.17
  5. Step 5: Solve for x
    x = 897,618.17/1,094.91
  6. Step 6: Final answer
    x = 819.81

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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.