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Finding the Fourth Proportional to 1,169.05, 1,752.91 and 388.63

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Solution

The fourth proportional to 1,169.05, 1,752.91 and 388.63 is: 582.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.05 : 1,752.91 = 388.63 : x
  2. Step 2: Convert to fraction form
    1,169.05/1,752.91 = 388.63/x
  3. Step 3: Cross multiply
    1,169.05x = 1,752.91 × 388.63
  4. Step 4: Simplify right side
    1,169.05x = 681,233.41
  5. Step 5: Solve for x
    x = 681,233.41/1,169.05
  6. Step 6: Final answer
    x = 582.73

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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.