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Finding the Fourth Proportional to 1,131.79, 1,697.19 and 391.47

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Solution

The fourth proportional to 1,131.79, 1,697.19 and 391.47 is: 587.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.79 : 1,697.19 = 391.47 : x
  2. Step 2: Convert to fraction form
    1,131.79/1,697.19 = 391.47/x
  3. Step 3: Cross multiply
    1,131.79x = 1,697.19 × 391.47
  4. Step 4: Simplify right side
    1,131.79x = 664,398.97
  5. Step 5: Solve for x
    x = 664,398.97/1,131.79
  6. Step 6: Final answer
    x = 587.03

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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.