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Finding the Fourth Proportional to 939.01, 1,407.56 and 451.79

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Solution

The fourth proportional to 939.01, 1,407.56 and 451.79 is: 677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.01 : 1,407.56 = 451.79 : x
  2. Step 2: Convert to fraction form
    939.01/1,407.56 = 451.79/x
  3. Step 3: Cross multiply
    939.01x = 1,407.56 × 451.79
  4. Step 4: Simplify right side
    939.01x = 635,926.18
  5. Step 5: Solve for x
    x = 635,926.18/939.01
  6. Step 6: Final answer
    x = 677.23

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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.