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Finding the Fourth Proportional to 986.03, 1,477.99 and 523.52

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Solution

The fourth proportional to 986.03, 1,477.99 and 523.52 is: 784.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.03 : 1,477.99 = 523.52 : x
  2. Step 2: Convert to fraction form
    986.03/1,477.99 = 523.52/x
  3. Step 3: Cross multiply
    986.03x = 1,477.99 × 523.52
  4. Step 4: Simplify right side
    986.03x = 773,757.32
  5. Step 5: Solve for x
    x = 773,757.32/986.03
  6. Step 6: Final answer
    x = 784.72

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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.