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Finding the Fourth Proportional to 803.03, 1,107.78 and 523.22

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Solution

The fourth proportional to 803.03, 1,107.78 and 523.22 is: 721.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.03 : 1,107.78 = 523.22 : x
  2. Step 2: Convert to fraction form
    803.03/1,107.78 = 523.22/x
  3. Step 3: Cross multiply
    803.03x = 1,107.78 × 523.22
  4. Step 4: Simplify right side
    803.03x = 579,612.65
  5. Step 5: Solve for x
    x = 579,612.65/803.03
  6. Step 6: Final answer
    x = 721.78

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