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Finding the Fourth Proportional to 989.12, 1,363.56 and 766.64

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Solution

The fourth proportional to 989.12, 1,363.56 and 766.64 is: 1,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.12 : 1,363.56 = 766.64 : x
  2. Step 2: Convert to fraction form
    989.12/1,363.56 = 766.64/x
  3. Step 3: Cross multiply
    989.12x = 1,363.56 × 766.64
  4. Step 4: Simplify right side
    989.12x = 1,045,359.64
  5. Step 5: Solve for x
    x = 1,045,359.64/989.12
  6. Step 6: Final answer
    x = 1,056.86

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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.