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Finding the Fourth Proportional to 1,097.21, 1,514.09 and 834.77

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Solution

The fourth proportional to 1,097.21, 1,514.09 and 834.77 is: 1,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.21 : 1,514.09 = 834.77 : x
  2. Step 2: Convert to fraction form
    1,097.21/1,514.09 = 834.77/x
  3. Step 3: Cross multiply
    1,097.21x = 1,514.09 × 834.77
  4. Step 4: Simplify right side
    1,097.21x = 1,263,922.78
  5. Step 5: Solve for x
    x = 1,263,922.78/1,097.21
  6. Step 6: Final answer
    x = 1,151.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.