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Finding the Fourth Proportional to 939.81, 1,296.88 and 520.14

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Solution

The fourth proportional to 939.81, 1,296.88 and 520.14 is: 717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.81 : 1,296.88 = 520.14 : x
  2. Step 2: Convert to fraction form
    939.81/1,296.88 = 520.14/x
  3. Step 3: Cross multiply
    939.81x = 1,296.88 × 520.14
  4. Step 4: Simplify right side
    939.81x = 674,559.16
  5. Step 5: Solve for x
    x = 674,559.16/939.81
  6. Step 6: Final answer
    x = 717.76

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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.