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Finding the Fourth Proportional to 806.93, 1,209.67 and 319.64

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Solution

The fourth proportional to 806.93, 1,209.67 and 319.64 is: 479.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.93 : 1,209.67 = 319.64 : x
  2. Step 2: Convert to fraction form
    806.93/1,209.67 = 319.64/x
  3. Step 3: Cross multiply
    806.93x = 1,209.67 × 319.64
  4. Step 4: Simplify right side
    806.93x = 386,661.14
  5. Step 5: Solve for x
    x = 386,661.14/806.93
  6. Step 6: Final answer
    x = 479.18

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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.