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Finding the Fourth Proportional to 1,565.79, 2,349.41 and 796.83

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Solution

The fourth proportional to 1,565.79, 2,349.41 and 796.83 is: 1,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.79 : 2,349.41 = 796.83 : x
  2. Step 2: Convert to fraction form
    1,565.79/2,349.41 = 796.83/x
  3. Step 3: Cross multiply
    1,565.79x = 2,349.41 × 796.83
  4. Step 4: Simplify right side
    1,565.79x = 1,872,076.39
  5. Step 5: Solve for x
    x = 1,872,076.39/1,565.79
  6. Step 6: Final answer
    x = 1,195.61

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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.