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Finding the Fourth Proportional to 730.72, 1,095.82 and 237.01

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Solution

The fourth proportional to 730.72, 1,095.82 and 237.01 is: 355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.72 : 1,095.82 = 237.01 : x
  2. Step 2: Convert to fraction form
    730.72/1,095.82 = 237.01/x
  3. Step 3: Cross multiply
    730.72x = 1,095.82 × 237.01
  4. Step 4: Simplify right side
    730.72x = 259,714.82
  5. Step 5: Solve for x
    x = 259,714.82/730.72
  6. Step 6: Final answer
    x = 355.42

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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.