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Finding the Fourth Proportional to 939.21, 1,406.25 and 548.64

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Solution

The fourth proportional to 939.21, 1,406.25 and 548.64 is: 821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.21 : 1,406.25 = 548.64 : x
  2. Step 2: Convert to fraction form
    939.21/1,406.25 = 548.64/x
  3. Step 3: Cross multiply
    939.21x = 1,406.25 × 548.64
  4. Step 4: Simplify right side
    939.21x = 771,525
  5. Step 5: Solve for x
    x = 771,525/939.21
  6. Step 6: Final answer
    x = 821.46

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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.