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Finding the Fourth Proportional to 1,352.70, 1,866.87 and 793.44

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Solution

The fourth proportional to 1,352.70, 1,866.87 and 793.44 is: 1,095.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.70 : 1,866.87 = 793.44 : x
  2. Step 2: Convert to fraction form
    1,352.70/1,866.87 = 793.44/x
  3. Step 3: Cross multiply
    1,352.70x = 1,866.87 × 793.44
  4. Step 4: Simplify right side
    1,352.70x = 1,481,249.33
  5. Step 5: Solve for x
    x = 1,481,249.33/1,352.70
  6. Step 6: Final answer
    x = 1,095.03

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1.5x scale

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.