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Finding the Fourth Proportional to 1,733.92, 2,601.08 and 759.89

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Solution

The fourth proportional to 1,733.92, 2,601.08 and 759.89 is: 1,139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.92 : 2,601.08 = 759.89 : x
  2. Step 2: Convert to fraction form
    1,733.92/2,601.08 = 759.89/x
  3. Step 3: Cross multiply
    1,733.92x = 2,601.08 × 759.89
  4. Step 4: Simplify right side
    1,733.92x = 1,976,543.08
  5. Step 5: Solve for x
    x = 1,976,543.08/1,733.92
  6. Step 6: Final answer
    x = 1,139.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.