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Finding the Fourth Proportional to 805.74, 1,112.22 and 511.20

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Solution

The fourth proportional to 805.74, 1,112.22 and 511.20 is: 705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.74 : 1,112.22 = 511.20 : x
  2. Step 2: Convert to fraction form
    805.74/1,112.22 = 511.20/x
  3. Step 3: Cross multiply
    805.74x = 1,112.22 × 511.20
  4. Step 4: Simplify right side
    805.74x = 568,566.86
  5. Step 5: Solve for x
    x = 568,566.86/805.74
  6. Step 6: Final answer
    x = 705.65

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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.