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Finding the Fourth Proportional to 811.69, 1,218.07 and 446.78

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Solution

The fourth proportional to 811.69, 1,218.07 and 446.78 is: 670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.69 : 1,218.07 = 446.78 : x
  2. Step 2: Convert to fraction form
    811.69/1,218.07 = 446.78/x
  3. Step 3: Cross multiply
    811.69x = 1,218.07 × 446.78
  4. Step 4: Simplify right side
    811.69x = 544,212.92
  5. Step 5: Solve for x
    x = 544,212.92/811.69
  6. Step 6: Final answer
    x = 670.47

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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.