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Finding the Fourth Proportional to 986.46, 1,478.54 and 742.20

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Solution

The fourth proportional to 986.46, 1,478.54 and 742.20 is: 1,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.46 : 1,478.54 = 742.20 : x
  2. Step 2: Convert to fraction form
    986.46/1,478.54 = 742.20/x
  3. Step 3: Cross multiply
    986.46x = 1,478.54 × 742.20
  4. Step 4: Simplify right side
    986.46x = 1,097,372.39
  5. Step 5: Solve for x
    x = 1,097,372.39/986.46
  6. Step 6: Final answer
    x = 1,112.43

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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.