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Finding the Fourth Proportional to 982.02, 1,471.10 and 749.18

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Solution

The fourth proportional to 982.02, 1,471.10 and 749.18 is: 1,122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.02 : 1,471.10 = 749.18 : x
  2. Step 2: Convert to fraction form
    982.02/1,471.10 = 749.18/x
  3. Step 3: Cross multiply
    982.02x = 1,471.10 × 749.18
  4. Step 4: Simplify right side
    982.02x = 1,102,118.63
  5. Step 5: Solve for x
    x = 1,102,118.63/982.02
  6. Step 6: Final answer
    x = 1,122.29

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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.