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Finding the Fourth Proportional to 921.82, 1,270.64 and 626.56

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Solution

The fourth proportional to 921.82, 1,270.64 and 626.56 is: 863.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.82 : 1,270.64 = 626.56 : x
  2. Step 2: Convert to fraction form
    921.82/1,270.64 = 626.56/x
  3. Step 3: Cross multiply
    921.82x = 1,270.64 × 626.56
  4. Step 4: Simplify right side
    921.82x = 796,132.20
  5. Step 5: Solve for x
    x = 796,132.20/921.82
  6. Step 6: Final answer
    x = 863.65

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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.