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Finding the Fourth Proportional to 809.09, 1,214.32 and 444.13

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Solution

The fourth proportional to 809.09, 1,214.32 and 444.13 is: 666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.09 : 1,214.32 = 444.13 : x
  2. Step 2: Convert to fraction form
    809.09/1,214.32 = 444.13/x
  3. Step 3: Cross multiply
    809.09x = 1,214.32 × 444.13
  4. Step 4: Simplify right side
    809.09x = 539,315.94
  5. Step 5: Solve for x
    x = 539,315.94/809.09
  6. Step 6: Final answer
    x = 666.57

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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.