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Finding the Fourth Proportional to 805.76, 1,112.04 and 491.20

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Solution

The fourth proportional to 805.76, 1,112.04 and 491.20 is: 677.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.76 : 1,112.04 = 491.20 : x
  2. Step 2: Convert to fraction form
    805.76/1,112.04 = 491.20/x
  3. Step 3: Cross multiply
    805.76x = 1,112.04 × 491.20
  4. Step 4: Simplify right side
    805.76x = 546,234.05
  5. Step 5: Solve for x
    x = 546,234.05/805.76
  6. Step 6: Final answer
    x = 677.91

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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.