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Finding the Fourth Proportional to 1,596.57, 2,391.66 and 729.69

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Solution

The fourth proportional to 1,596.57, 2,391.66 and 729.69 is: 1,093.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.57 : 2,391.66 = 729.69 : x
  2. Step 2: Convert to fraction form
    1,596.57/2,391.66 = 729.69/x
  3. Step 3: Cross multiply
    1,596.57x = 2,391.66 × 729.69
  4. Step 4: Simplify right side
    1,596.57x = 1,745,166.74
  5. Step 5: Solve for x
    x = 1,745,166.74/1,596.57
  6. Step 6: Final answer
    x = 1,093.07

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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.