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Finding the Fourth Proportional to 986.68, 1,479.60 and 293.14

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Solution

The fourth proportional to 986.68, 1,479.60 and 293.14 is: 439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.68 : 1,479.60 = 293.14 : x
  2. Step 2: Convert to fraction form
    986.68/1,479.60 = 293.14/x
  3. Step 3: Cross multiply
    986.68x = 1,479.60 × 293.14
  4. Step 4: Simplify right side
    986.68x = 433,729.94
  5. Step 5: Solve for x
    x = 433,729.94/986.68
  6. Step 6: Final answer
    x = 439.59

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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.