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Finding the Fourth Proportional to 1,183.75, 1,633.77 and 718.27

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Solution

The fourth proportional to 1,183.75, 1,633.77 and 718.27 is: 991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.75 : 1,633.77 = 718.27 : x
  2. Step 2: Convert to fraction form
    1,183.75/1,633.77 = 718.27/x
  3. Step 3: Cross multiply
    1,183.75x = 1,633.77 × 718.27
  4. Step 4: Simplify right side
    1,183.75x = 1,173,487.98
  5. Step 5: Solve for x
    x = 1,173,487.98/1,183.75
  6. Step 6: Final answer
    x = 991.33

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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.