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Finding the Fourth Proportional to 805.66, 1,208.46 and 480.31

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Solution

The fourth proportional to 805.66, 1,208.46 and 480.31 is: 720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.66 : 1,208.46 = 480.31 : x
  2. Step 2: Convert to fraction form
    805.66/1,208.46 = 480.31/x
  3. Step 3: Cross multiply
    805.66x = 1,208.46 × 480.31
  4. Step 4: Simplify right side
    805.66x = 580,435.42
  5. Step 5: Solve for x
    x = 580,435.42/805.66
  6. Step 6: Final answer
    x = 720.45

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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.