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Finding the Fourth Proportional to 1,010.82, 1,516.26 and 280.41

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Solution

The fourth proportional to 1,010.82, 1,516.26 and 280.41 is: 420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.82 : 1,516.26 = 280.41 : x
  2. Step 2: Convert to fraction form
    1,010.82/1,516.26 = 280.41/x
  3. Step 3: Cross multiply
    1,010.82x = 1,516.26 × 280.41
  4. Step 4: Simplify right side
    1,010.82x = 425,174.47
  5. Step 5: Solve for x
    x = 425,174.47/1,010.82
  6. Step 6: Final answer
    x = 420.62

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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.