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Finding the Fourth Proportional to 1,736.92, 2,604.73 and 566.65

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Solution

The fourth proportional to 1,736.92, 2,604.73 and 566.65 is: 849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.92 : 2,604.73 = 566.65 : x
  2. Step 2: Convert to fraction form
    1,736.92/2,604.73 = 566.65/x
  3. Step 3: Cross multiply
    1,736.92x = 2,604.73 × 566.65
  4. Step 4: Simplify right side
    1,736.92x = 1,475,960.10
  5. Step 5: Solve for x
    x = 1,475,960.10/1,736.92
  6. Step 6: Final answer
    x = 849.76

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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.