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Finding the Fourth Proportional to 1,010.85, 1,516.19 and 280.46

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Solution

The fourth proportional to 1,010.85, 1,516.19 and 280.46 is: 420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.85 : 1,516.19 = 280.46 : x
  2. Step 2: Convert to fraction form
    1,010.85/1,516.19 = 280.46/x
  3. Step 3: Cross multiply
    1,010.85x = 1,516.19 × 280.46
  4. Step 4: Simplify right side
    1,010.85x = 425,221.66
  5. Step 5: Solve for x
    x = 425,221.66/1,010.85
  6. Step 6: Final answer
    x = 420.66

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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.