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Finding the Fourth Proportional to 1,280.82, 1,921.26 and 356.44

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Solution

The fourth proportional to 1,280.82, 1,921.26 and 356.44 is: 534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.82 : 1,921.26 = 356.44 : x
  2. Step 2: Convert to fraction form
    1,280.82/1,921.26 = 356.44/x
  3. Step 3: Cross multiply
    1,280.82x = 1,921.26 × 356.44
  4. Step 4: Simplify right side
    1,280.82x = 684,813.91
  5. Step 5: Solve for x
    x = 684,813.91/1,280.82
  6. Step 6: Final answer
    x = 534.67

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Why These Related Problems?

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