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Finding the Fourth Proportional to 986.13, 1,478.74 and 575.39

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Solution

The fourth proportional to 986.13, 1,478.74 and 575.39 is: 862.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.13 : 1,478.74 = 575.39 : x
  2. Step 2: Convert to fraction form
    986.13/1,478.74 = 575.39/x
  3. Step 3: Cross multiply
    986.13x = 1,478.74 × 575.39
  4. Step 4: Simplify right side
    986.13x = 850,843.38
  5. Step 5: Solve for x
    x = 850,843.38/986.13
  6. Step 6: Final answer
    x = 862.81

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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.