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Finding the Fourth Proportional to 1,180.72, 1,771.14 and 531.28

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Solution

The fourth proportional to 1,180.72, 1,771.14 and 531.28 is: 796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.72 : 1,771.14 = 531.28 : x
  2. Step 2: Convert to fraction form
    1,180.72/1,771.14 = 531.28/x
  3. Step 3: Cross multiply
    1,180.72x = 1,771.14 × 531.28
  4. Step 4: Simplify right side
    1,180.72x = 940,971.26
  5. Step 5: Solve for x
    x = 940,971.26/1,180.72
  6. Step 6: Final answer
    x = 796.95

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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.