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Finding the Fourth Proportional to 806.94, 1,209.26 and 459.56

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Solution

The fourth proportional to 806.94, 1,209.26 and 459.56 is: 688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.94 : 1,209.26 = 459.56 : x
  2. Step 2: Convert to fraction form
    806.94/1,209.26 = 459.56/x
  3. Step 3: Cross multiply
    806.94x = 1,209.26 × 459.56
  4. Step 4: Simplify right side
    806.94x = 555,729.00
  5. Step 5: Solve for x
    x = 555,729.00/806.94
  6. Step 6: Final answer
    x = 688.68

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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.