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Finding the Fourth Proportional to 805.44, 1,206.48 and 394.32

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Solution

The fourth proportional to 805.44, 1,206.48 and 394.32 is: 590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.44 : 1,206.48 = 394.32 : x
  2. Step 2: Convert to fraction form
    805.44/1,206.48 = 394.32/x
  3. Step 3: Cross multiply
    805.44x = 1,206.48 × 394.32
  4. Step 4: Simplify right side
    805.44x = 475,739.19
  5. Step 5: Solve for x
    x = 475,739.19/805.44
  6. Step 6: Final answer
    x = 590.66

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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.