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Finding the Fourth Proportional to 939.52, 1,296.54 and 546.77

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Solution

The fourth proportional to 939.52, 1,296.54 and 546.77 is: 754.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.52 : 1,296.54 = 546.77 : x
  2. Step 2: Convert to fraction form
    939.52/1,296.54 = 546.77/x
  3. Step 3: Cross multiply
    939.52x = 1,296.54 × 546.77
  4. Step 4: Simplify right side
    939.52x = 708,905.12
  5. Step 5: Solve for x
    x = 708,905.12/939.52
  6. Step 6: Final answer
    x = 754.54

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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.