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Finding the Fourth Proportional to 986.42, 1,478.16 and 499.82

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Solution

The fourth proportional to 986.42, 1,478.16 and 499.82 is: 748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.42 : 1,478.16 = 499.82 : x
  2. Step 2: Convert to fraction form
    986.42/1,478.16 = 499.82/x
  3. Step 3: Cross multiply
    986.42x = 1,478.16 × 499.82
  4. Step 4: Simplify right side
    986.42x = 738,813.93
  5. Step 5: Solve for x
    x = 738,813.93/986.42
  6. Step 6: Final answer
    x = 748.99

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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.