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Finding the Fourth Proportional to 986.24, 1,478.52 and 498.56

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Solution

The fourth proportional to 986.24, 1,478.52 and 498.56 is: 747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.24 : 1,478.52 = 498.56 : x
  2. Step 2: Convert to fraction form
    986.24/1,478.52 = 498.56/x
  3. Step 3: Cross multiply
    986.24x = 1,478.52 × 498.56
  4. Step 4: Simplify right side
    986.24x = 737,130.93
  5. Step 5: Solve for x
    x = 737,130.93/986.24
  6. Step 6: Final answer
    x = 747.42

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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.