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Finding the Fourth Proportional to 986.96, 1,469.48 and 982.10

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Solution

The fourth proportional to 986.96, 1,469.48 and 982.10 is: 1,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.96 : 1,469.48 = 982.10 : x
  2. Step 2: Convert to fraction form
    986.96/1,469.48 = 982.10/x
  3. Step 3: Cross multiply
    986.96x = 1,469.48 × 982.10
  4. Step 4: Simplify right side
    986.96x = 1,443,176.31
  5. Step 5: Solve for x
    x = 1,443,176.31/986.96
  6. Step 6: Final answer
    x = 1,462.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.