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Finding the Fourth Proportional to 1,183.64, 1,633.34 and 659.70

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Solution

The fourth proportional to 1,183.64, 1,633.34 and 659.70 is: 910.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.64 : 1,633.34 = 659.70 : x
  2. Step 2: Convert to fraction form
    1,183.64/1,633.34 = 659.70/x
  3. Step 3: Cross multiply
    1,183.64x = 1,633.34 × 659.70
  4. Step 4: Simplify right side
    1,183.64x = 1,077,514.40
  5. Step 5: Solve for x
    x = 1,077,514.40/1,183.64
  6. Step 6: Final answer
    x = 910.34

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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.