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Finding the Fourth Proportional to 1,414.98, 1,952.66 and 793.98

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Solution

The fourth proportional to 1,414.98, 1,952.66 and 793.98 is: 1,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.98 : 1,952.66 = 793.98 : x
  2. Step 2: Convert to fraction form
    1,414.98/1,952.66 = 793.98/x
  3. Step 3: Cross multiply
    1,414.98x = 1,952.66 × 793.98
  4. Step 4: Simplify right side
    1,414.98x = 1,550,374.97
  5. Step 5: Solve for x
    x = 1,550,374.97/1,414.98
  6. Step 6: Final answer
    x = 1,095.69

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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.