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Finding the Fourth Proportional to 1,010.63, 1,516.49 and 767.63

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Solution

The fourth proportional to 1,010.63, 1,516.49 and 767.63 is: 1,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.63 : 1,516.49 = 767.63 : x
  2. Step 2: Convert to fraction form
    1,010.63/1,516.49 = 767.63/x
  3. Step 3: Cross multiply
    1,010.63x = 1,516.49 × 767.63
  4. Step 4: Simplify right side
    1,010.63x = 1,164,091.80
  5. Step 5: Solve for x
    x = 1,164,091.80/1,010.63
  6. Step 6: Final answer
    x = 1,151.85

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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.