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Finding the Fourth Proportional to 729.01, 1,093.74 and 290.46

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Solution

The fourth proportional to 729.01, 1,093.74 and 290.46 is: 435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.01 : 1,093.74 = 290.46 : x
  2. Step 2: Convert to fraction form
    729.01/1,093.74 = 290.46/x
  3. Step 3: Cross multiply
    729.01x = 1,093.74 × 290.46
  4. Step 4: Simplify right side
    729.01x = 317,687.72
  5. Step 5: Solve for x
    x = 317,687.72/729.01
  6. Step 6: Final answer
    x = 435.78

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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.