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Finding the Fourth Proportional to 982.71, 1,474.21 and 520.37

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Solution

The fourth proportional to 982.71, 1,474.21 and 520.37 is: 780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.71 : 1,474.21 = 520.37 : x
  2. Step 2: Convert to fraction form
    982.71/1,474.21 = 520.37/x
  3. Step 3: Cross multiply
    982.71x = 1,474.21 × 520.37
  4. Step 4: Simplify right side
    982.71x = 767,133.47
  5. Step 5: Solve for x
    x = 767,133.47/982.71
  6. Step 6: Final answer
    x = 780.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.