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Finding the Fourth Proportional to 809.94, 1,215.52 and 566.33

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Solution

The fourth proportional to 809.94, 1,215.52 and 566.33 is: 849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.94 : 1,215.52 = 566.33 : x
  2. Step 2: Convert to fraction form
    809.94/1,215.52 = 566.33/x
  3. Step 3: Cross multiply
    809.94x = 1,215.52 × 566.33
  4. Step 4: Simplify right side
    809.94x = 688,387.06
  5. Step 5: Solve for x
    x = 688,387.06/809.94
  6. Step 6: Final answer
    x = 849.92

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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.