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Finding the Fourth Proportional to 986.36, 1,479.98 and 499.75

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Solution

The fourth proportional to 986.36, 1,479.98 and 499.75 is: 749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.36 : 1,479.98 = 499.75 : x
  2. Step 2: Convert to fraction form
    986.36/1,479.98 = 499.75/x
  3. Step 3: Cross multiply
    986.36x = 1,479.98 × 499.75
  4. Step 4: Simplify right side
    986.36x = 739,620.01
  5. Step 5: Solve for x
    x = 739,620.01/986.36
  6. Step 6: Final answer
    x = 749.85

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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.