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Finding the Fourth Proportional to 939.52, 1,407.84 and 451.36

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Solution

The fourth proportional to 939.52, 1,407.84 and 451.36 is: 676.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.52 : 1,407.84 = 451.36 : x
  2. Step 2: Convert to fraction form
    939.52/1,407.84 = 451.36/x
  3. Step 3: Cross multiply
    939.52x = 1,407.84 × 451.36
  4. Step 4: Simplify right side
    939.52x = 635,442.66
  5. Step 5: Solve for x
    x = 635,442.66/939.52
  6. Step 6: Final answer
    x = 676.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.