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Finding the Fourth Proportional to 805.00, 1,206.69 and 457.62

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Solution

The fourth proportional to 805.00, 1,206.69 and 457.62 is: 685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.00 : 1,206.69 = 457.62 : x
  2. Step 2: Convert to fraction form
    805.00/1,206.69 = 457.62/x
  3. Step 3: Cross multiply
    805.00x = 1,206.69 × 457.62
  4. Step 4: Simplify right side
    805.00x = 552,205.19
  5. Step 5: Solve for x
    x = 552,205.19/805.00
  6. Step 6: Final answer
    x = 685.97

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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.