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Finding the Fourth Proportional to 1,414.50, 1,952.01 and 793.50

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Solution

The fourth proportional to 1,414.50, 1,952.01 and 793.50 is: 1,095.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.50 : 1,952.01 = 793.50 : x
  2. Step 2: Convert to fraction form
    1,414.50/1,952.01 = 793.50/x
  3. Step 3: Cross multiply
    1,414.50x = 1,952.01 × 793.50
  4. Step 4: Simplify right side
    1,414.50x = 1,548,919.94
  5. Step 5: Solve for x
    x = 1,548,919.94/1,414.50
  6. Step 6: Final answer
    x = 1,095.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.