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Finding the Fourth Proportional to 921.77, 1,272.14 and 548.81

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Solution

The fourth proportional to 921.77, 1,272.14 and 548.81 is: 757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.77 : 1,272.14 = 548.81 : x
  2. Step 2: Convert to fraction form
    921.77/1,272.14 = 548.81/x
  3. Step 3: Cross multiply
    921.77x = 1,272.14 × 548.81
  4. Step 4: Simplify right side
    921.77x = 698,154.05
  5. Step 5: Solve for x
    x = 698,154.05/921.77
  6. Step 6: Final answer
    x = 757.41

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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.