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Finding the Fourth Proportional to 939.02, 1,296.03 and 546.14

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Solution

The fourth proportional to 939.02, 1,296.03 and 546.14 is: 753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.02 : 1,296.03 = 546.14 : x
  2. Step 2: Convert to fraction form
    939.02/1,296.03 = 546.14/x
  3. Step 3: Cross multiply
    939.02x = 1,296.03 × 546.14
  4. Step 4: Simplify right side
    939.02x = 707,813.82
  5. Step 5: Solve for x
    x = 707,813.82/939.02
  6. Step 6: Final answer
    x = 753.78

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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.