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Finding the Fourth Proportional to 908.22, 1,362.72 and 584.22

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Solution

The fourth proportional to 908.22, 1,362.72 and 584.22 is: 876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.22 : 1,362.72 = 584.22 : x
  2. Step 2: Convert to fraction form
    908.22/1,362.72 = 584.22/x
  3. Step 3: Cross multiply
    908.22x = 1,362.72 × 584.22
  4. Step 4: Simplify right side
    908.22x = 796,128.28
  5. Step 5: Solve for x
    x = 796,128.28/908.22
  6. Step 6: Final answer
    x = 876.58

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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.