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Finding the Fourth Proportional to 986.25, 1,361.03 and 724.76

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Solution

The fourth proportional to 986.25, 1,361.03 and 724.76 is: 1,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.25 : 1,361.03 = 724.76 : x
  2. Step 2: Convert to fraction form
    986.25/1,361.03 = 724.76/x
  3. Step 3: Cross multiply
    986.25x = 1,361.03 × 724.76
  4. Step 4: Simplify right side
    986.25x = 986,409.67
  5. Step 5: Solve for x
    x = 986,409.67/986.25
  6. Step 6: Final answer
    x = 1,000.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.