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Finding the Fourth Proportional to 1,186.78, 1,637.83 and 662.85

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Solution

The fourth proportional to 1,186.78, 1,637.83 and 662.85 is: 914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.78 : 1,637.83 = 662.85 : x
  2. Step 2: Convert to fraction form
    1,186.78/1,637.83 = 662.85/x
  3. Step 3: Cross multiply
    1,186.78x = 1,637.83 × 662.85
  4. Step 4: Simplify right side
    1,186.78x = 1,085,635.62
  5. Step 5: Solve for x
    x = 1,085,635.62/1,186.78
  6. Step 6: Final answer
    x = 914.77

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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.