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Finding the Fourth Proportional to 803.32, 1,203.14 and 665.44

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Solution

The fourth proportional to 803.32, 1,203.14 and 665.44 is: 996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.32 : 1,203.14 = 665.44 : x
  2. Step 2: Convert to fraction form
    803.32/1,203.14 = 665.44/x
  3. Step 3: Cross multiply
    803.32x = 1,203.14 × 665.44
  4. Step 4: Simplify right side
    803.32x = 800,617.48
  5. Step 5: Solve for x
    x = 800,617.48/803.32
  6. Step 6: Final answer
    x = 996.64

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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.