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Finding the Fourth Proportional to 939.29, 1,296.29 and 541.07

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Solution

The fourth proportional to 939.29, 1,296.29 and 541.07 is: 746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.29 : 1,296.29 = 541.07 : x
  2. Step 2: Convert to fraction form
    939.29/1,296.29 = 541.07/x
  3. Step 3: Cross multiply
    939.29x = 1,296.29 × 541.07
  4. Step 4: Simplify right side
    939.29x = 701,380.92
  5. Step 5: Solve for x
    x = 701,380.92/939.29
  6. Step 6: Final answer
    x = 746.72

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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.