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Finding the Fourth Proportional to 1,013.20, 1,519.94 and 986.47

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Solution

The fourth proportional to 1,013.20, 1,519.94 and 986.47 is: 1,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.20 : 1,519.94 = 986.47 : x
  2. Step 2: Convert to fraction form
    1,013.20/1,519.94 = 986.47/x
  3. Step 3: Cross multiply
    1,013.20x = 1,519.94 × 986.47
  4. Step 4: Simplify right side
    1,013.20x = 1,499,375.21
  5. Step 5: Solve for x
    x = 1,499,375.21/1,013.20
  6. Step 6: Final answer
    x = 1,479.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.