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Finding the Fourth Proportional to 1,280.59, 1,921.62 and 540.15

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Solution

The fourth proportional to 1,280.59, 1,921.62 and 540.15 is: 810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.59 : 1,921.62 = 540.15 : x
  2. Step 2: Convert to fraction form
    1,280.59/1,921.62 = 540.15/x
  3. Step 3: Cross multiply
    1,280.59x = 1,921.62 × 540.15
  4. Step 4: Simplify right side
    1,280.59x = 1,037,950.73
  5. Step 5: Solve for x
    x = 1,037,950.73/1,280.59
  6. Step 6: Final answer
    x = 810.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.