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Finding the Fourth Proportional to 1,098.66, 1,514.79 and 850.26

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Solution

The fourth proportional to 1,098.66, 1,514.79 and 850.26 is: 1,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.66 : 1,514.79 = 850.26 : x
  2. Step 2: Convert to fraction form
    1,098.66/1,514.79 = 850.26/x
  3. Step 3: Cross multiply
    1,098.66x = 1,514.79 × 850.26
  4. Step 4: Simplify right side
    1,098.66x = 1,287,965.35
  5. Step 5: Solve for x
    x = 1,287,965.35/1,098.66
  6. Step 6: Final answer
    x = 1,172.31

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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.