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Finding the Fourth Proportional to 803.06, 1,107.38 and 523.55

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Solution

The fourth proportional to 803.06, 1,107.38 and 523.55 is: 721.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.06 : 1,107.38 = 523.55 : x
  2. Step 2: Convert to fraction form
    803.06/1,107.38 = 523.55/x
  3. Step 3: Cross multiply
    803.06x = 1,107.38 × 523.55
  4. Step 4: Simplify right side
    803.06x = 579,768.80
  5. Step 5: Solve for x
    x = 579,768.80/803.06
  6. Step 6: Final answer
    x = 721.95

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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.