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Finding the Fourth Proportional to 1,280.83, 1,921.29 and 356.38

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Solution

The fourth proportional to 1,280.83, 1,921.29 and 356.38 is: 534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.83 : 1,921.29 = 356.38 : x
  2. Step 2: Convert to fraction form
    1,280.83/1,921.29 = 356.38/x
  3. Step 3: Cross multiply
    1,280.83x = 1,921.29 × 356.38
  4. Step 4: Simplify right side
    1,280.83x = 684,709.33
  5. Step 5: Solve for x
    x = 684,709.33/1,280.83
  6. Step 6: Final answer
    x = 534.58

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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.