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Finding the Fourth Proportional to 939.54, 1,296.61 and 525.46

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Solution

The fourth proportional to 939.54, 1,296.61 and 525.46 is: 725.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.54 : 1,296.61 = 525.46 : x
  2. Step 2: Convert to fraction form
    939.54/1,296.61 = 525.46/x
  3. Step 3: Cross multiply
    939.54x = 1,296.61 × 525.46
  4. Step 4: Simplify right side
    939.54x = 681,316.69
  5. Step 5: Solve for x
    x = 681,316.69/939.54
  6. Step 6: Final answer
    x = 725.16

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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.