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Finding the Fourth Proportional to 811.83, 1,119.58 and 531.97

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Solution

The fourth proportional to 811.83, 1,119.58 and 531.97 is: 733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.83 : 1,119.58 = 531.97 : x
  2. Step 2: Convert to fraction form
    811.83/1,119.58 = 531.97/x
  3. Step 3: Cross multiply
    811.83x = 1,119.58 × 531.97
  4. Step 4: Simplify right side
    811.83x = 595,582.97
  5. Step 5: Solve for x
    x = 595,582.97/811.83
  6. Step 6: Final answer
    x = 733.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.