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Finding the Fourth Proportional to 986.37, 1,478.62 and 523.85

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Solution

The fourth proportional to 986.37, 1,478.62 and 523.85 is: 785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.37 : 1,478.62 = 523.85 : x
  2. Step 2: Convert to fraction form
    986.37/1,478.62 = 523.85/x
  3. Step 3: Cross multiply
    986.37x = 1,478.62 × 523.85
  4. Step 4: Simplify right side
    986.37x = 774,580.69
  5. Step 5: Solve for x
    x = 774,580.69/986.37
  6. Step 6: Final answer
    x = 785.28

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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.