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Finding the Fourth Proportional to 921.08, 1,271.22 and 640.82

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Solution

The fourth proportional to 921.08, 1,271.22 and 640.82 is: 884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.08 : 1,271.22 = 640.82 : x
  2. Step 2: Convert to fraction form
    921.08/1,271.22 = 640.82/x
  3. Step 3: Cross multiply
    921.08x = 1,271.22 × 640.82
  4. Step 4: Simplify right side
    921.08x = 814,623.20
  5. Step 5: Solve for x
    x = 814,623.20/921.08
  6. Step 6: Final answer
    x = 884.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.