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Finding the Fourth Proportional to 1,010.08, 1,516.20 and 849.52

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Solution

The fourth proportional to 1,010.08, 1,516.20 and 849.52 is: 1,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.08 : 1,516.20 = 849.52 : x
  2. Step 2: Convert to fraction form
    1,010.08/1,516.20 = 849.52/x
  3. Step 3: Cross multiply
    1,010.08x = 1,516.20 × 849.52
  4. Step 4: Simplify right side
    1,010.08x = 1,288,042.22
  5. Step 5: Solve for x
    x = 1,288,042.22/1,010.08
  6. Step 6: Final answer
    x = 1,275.19

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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.