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Finding the Fourth Proportional to 808.18, 1,212.27 and 565.09

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Solution

The fourth proportional to 808.18, 1,212.27 and 565.09 is: 847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.18 : 1,212.27 = 565.09 : x
  2. Step 2: Convert to fraction form
    808.18/1,212.27 = 565.09/x
  3. Step 3: Cross multiply
    808.18x = 1,212.27 × 565.09
  4. Step 4: Simplify right side
    808.18x = 685,041.65
  5. Step 5: Solve for x
    x = 685,041.65/808.18
  6. Step 6: Final answer
    x = 847.64

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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.