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Finding the Fourth Proportional to 808.94, 1,116.05 and 477.25

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Solution

The fourth proportional to 808.94, 1,116.05 and 477.25 is: 658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.94 : 1,116.05 = 477.25 : x
  2. Step 2: Convert to fraction form
    808.94/1,116.05 = 477.25/x
  3. Step 3: Cross multiply
    808.94x = 1,116.05 × 477.25
  4. Step 4: Simplify right side
    808.94x = 532,629.69
  5. Step 5: Solve for x
    x = 532,629.69/808.94
  6. Step 6: Final answer
    x = 658.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.