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Finding the Fourth Proportional to 1,236.78, 1,853.49 and 466.86

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Solution

The fourth proportional to 1,236.78, 1,853.49 and 466.86 is: 699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.78 : 1,853.49 = 466.86 : x
  2. Step 2: Convert to fraction form
    1,236.78/1,853.49 = 466.86/x
  3. Step 3: Cross multiply
    1,236.78x = 1,853.49 × 466.86
  4. Step 4: Simplify right side
    1,236.78x = 865,320.34
  5. Step 5: Solve for x
    x = 865,320.34/1,236.78
  6. Step 6: Final answer
    x = 699.66

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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.