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Finding the Fourth Proportional to 986.36, 1,361.28 and 566.76

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Solution

The fourth proportional to 986.36, 1,361.28 and 566.76 is: 782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.36 : 1,361.28 = 566.76 : x
  2. Step 2: Convert to fraction form
    986.36/1,361.28 = 566.76/x
  3. Step 3: Cross multiply
    986.36x = 1,361.28 × 566.76
  4. Step 4: Simplify right side
    986.36x = 771,519.05
  5. Step 5: Solve for x
    x = 771,519.05/986.36
  6. Step 6: Final answer
    x = 782.19

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