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Finding the Fourth Proportional to 1,280.83, 1,765.81 and 1,253.23

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Solution

The fourth proportional to 1,280.83, 1,765.81 and 1,253.23 is: 1,727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.83 : 1,765.81 = 1,253.23 : x
  2. Step 2: Convert to fraction form
    1,280.83/1,765.81 = 1,253.23/x
  3. Step 3: Cross multiply
    1,280.83x = 1,765.81 × 1,253.23
  4. Step 4: Simplify right side
    1,280.83x = 2,212,966.07
  5. Step 5: Solve for x
    x = 2,212,966.07/1,280.83
  6. Step 6: Final answer
    x = 1,727.76

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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.