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Finding the Fourth Proportional to 1,183.52, 1,633.49 and 785.21

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Solution

The fourth proportional to 1,183.52, 1,633.49 and 785.21 is: 1,083.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.52 : 1,633.49 = 785.21 : x
  2. Step 2: Convert to fraction form
    1,183.52/1,633.49 = 785.21/x
  3. Step 3: Cross multiply
    1,183.52x = 1,633.49 × 785.21
  4. Step 4: Simplify right side
    1,183.52x = 1,282,620.59
  5. Step 5: Solve for x
    x = 1,282,620.59/1,183.52
  6. Step 6: Final answer
    x = 1,083.74

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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.