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Finding the Fourth Proportional to 728.90, 1,093.54 and 235.36

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Solution

The fourth proportional to 728.90, 1,093.54 and 235.36 is: 353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.90 : 1,093.54 = 235.36 : x
  2. Step 2: Convert to fraction form
    728.90/1,093.54 = 235.36/x
  3. Step 3: Cross multiply
    728.90x = 1,093.54 × 235.36
  4. Step 4: Simplify right side
    728.90x = 257,375.57
  5. Step 5: Solve for x
    x = 257,375.57/728.90
  6. Step 6: Final answer
    x = 353.10

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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.