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Finding the Fourth Proportional to 1,010.85, 1,516.26 and 280.43

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Solution

The fourth proportional to 1,010.85, 1,516.26 and 280.43 is: 420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.85 : 1,516.26 = 280.43 : x
  2. Step 2: Convert to fraction form
    1,010.85/1,516.26 = 280.43/x
  3. Step 3: Cross multiply
    1,010.85x = 1,516.26 × 280.43
  4. Step 4: Simplify right side
    1,010.85x = 425,197.21
  5. Step 5: Solve for x
    x = 425,197.21/1,010.85
  6. Step 6: Final answer
    x = 420.63

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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.