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Finding the Fourth Proportional to 805.89, 1,111.83 and 491.05

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Solution

The fourth proportional to 805.89, 1,111.83 and 491.05 is: 677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.89 : 1,111.83 = 491.05 : x
  2. Step 2: Convert to fraction form
    805.89/1,111.83 = 491.05/x
  3. Step 3: Cross multiply
    805.89x = 1,111.83 × 491.05
  4. Step 4: Simplify right side
    805.89x = 545,964.12
  5. Step 5: Solve for x
    x = 545,964.12/805.89
  6. Step 6: Final answer
    x = 677.47

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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.