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Finding the Fourth Proportional to 1,314.37, 1,972.05 and 794.75

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Solution

The fourth proportional to 1,314.37, 1,972.05 and 794.75 is: 1,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.37 : 1,972.05 = 794.75 : x
  2. Step 2: Convert to fraction form
    1,314.37/1,972.05 = 794.75/x
  3. Step 3: Cross multiply
    1,314.37x = 1,972.05 × 794.75
  4. Step 4: Simplify right side
    1,314.37x = 1,567,286.74
  5. Step 5: Solve for x
    x = 1,567,286.74/1,314.37
  6. Step 6: Final answer
    x = 1,192.42

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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.