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Finding the Fourth Proportional to 1,232.69, 1,702.42 and 1,204.44

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Solution

The fourth proportional to 1,232.69, 1,702.42 and 1,204.44 is: 1,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.69 : 1,702.42 = 1,204.44 : x
  2. Step 2: Convert to fraction form
    1,232.69/1,702.42 = 1,204.44/x
  3. Step 3: Cross multiply
    1,232.69x = 1,702.42 × 1,204.44
  4. Step 4: Simplify right side
    1,232.69x = 2,050,453.35
  5. Step 5: Solve for x
    x = 2,050,453.35/1,232.69
  6. Step 6: Final answer
    x = 1,663.40

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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.