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Finding the Fourth Proportional to 1,183.52, 1,633.02 and 717.50

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Solution

The fourth proportional to 1,183.52, 1,633.02 and 717.50 is: 990.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.52 : 1,633.02 = 717.50 : x
  2. Step 2: Convert to fraction form
    1,183.52/1,633.02 = 717.50/x
  3. Step 3: Cross multiply
    1,183.52x = 1,633.02 × 717.50
  4. Step 4: Simplify right side
    1,183.52x = 1,171,691.85
  5. Step 5: Solve for x
    x = 1,171,691.85/1,183.52
  6. Step 6: Final answer
    x = 990.01

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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.