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Finding the Fourth Proportional to 986.91, 1,361.88 and 567.29

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Solution

The fourth proportional to 986.91, 1,361.88 and 567.29 is: 782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.91 : 1,361.88 = 567.29 : x
  2. Step 2: Convert to fraction form
    986.91/1,361.88 = 567.29/x
  3. Step 3: Cross multiply
    986.91x = 1,361.88 × 567.29
  4. Step 4: Simplify right side
    986.91x = 772,574.10
  5. Step 5: Solve for x
    x = 772,574.10/986.91
  6. Step 6: Final answer
    x = 782.82

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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.