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Finding the Fourth Proportional to 1,175.78, 1,612.82 and 1,151.48

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Solution

The fourth proportional to 1,175.78, 1,612.82 and 1,151.48 is: 1,579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.78 : 1,612.82 = 1,151.48 : x
  2. Step 2: Convert to fraction form
    1,175.78/1,612.82 = 1,151.48/x
  3. Step 3: Cross multiply
    1,175.78x = 1,612.82 × 1,151.48
  4. Step 4: Simplify right side
    1,175.78x = 1,857,129.97
  5. Step 5: Solve for x
    x = 1,857,129.97/1,175.78
  6. Step 6: Final answer
    x = 1,579.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.