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Finding the Fourth Proportional to 1,080.95, 1,490.72 and 766.33

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Solution

The fourth proportional to 1,080.95, 1,490.72 and 766.33 is: 1,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.95 : 1,490.72 = 766.33 : x
  2. Step 2: Convert to fraction form
    1,080.95/1,490.72 = 766.33/x
  3. Step 3: Cross multiply
    1,080.95x = 1,490.72 × 766.33
  4. Step 4: Simplify right side
    1,080.95x = 1,142,375.90
  5. Step 5: Solve for x
    x = 1,142,375.90/1,080.95
  6. Step 6: Final answer
    x = 1,056.83

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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.