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Finding the Fourth Proportional to 1,254.20, 1,731.61 and 782.81

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Solution

The fourth proportional to 1,254.20, 1,731.61 and 782.81 is: 1,080.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.20 : 1,731.61 = 782.81 : x
  2. Step 2: Convert to fraction form
    1,254.20/1,731.61 = 782.81/x
  3. Step 3: Cross multiply
    1,254.20x = 1,731.61 × 782.81
  4. Step 4: Simplify right side
    1,254.20x = 1,355,520.44
  5. Step 5: Solve for x
    x = 1,355,520.44/1,254.20
  6. Step 6: Final answer
    x = 1,080.79

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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.