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Finding the Fourth Proportional to 803.27, 1,203.48 and 559.32

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Solution

The fourth proportional to 803.27, 1,203.48 and 559.32 is: 837.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.27 : 1,203.48 = 559.32 : x
  2. Step 2: Convert to fraction form
    803.27/1,203.48 = 559.32/x
  3. Step 3: Cross multiply
    803.27x = 1,203.48 × 559.32
  4. Step 4: Simplify right side
    803.27x = 673,130.43
  5. Step 5: Solve for x
    x = 673,130.43/803.27
  6. Step 6: Final answer
    x = 837.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.