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Finding the Fourth Proportional to 803.52, 1,109.18 and 523.99

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Solution

The fourth proportional to 803.52, 1,109.18 and 523.99 is: 723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.52 : 1,109.18 = 523.99 : x
  2. Step 2: Convert to fraction form
    803.52/1,109.18 = 523.99/x
  3. Step 3: Cross multiply
    803.52x = 1,109.18 × 523.99
  4. Step 4: Simplify right side
    803.52x = 581,198.98
  5. Step 5: Solve for x
    x = 581,198.98/803.52
  6. Step 6: Final answer
    x = 723.32

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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.