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Finding the Fourth Proportional to 803.82, 1,206.08 and 341.52

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Solution

The fourth proportional to 803.82, 1,206.08 and 341.52 is: 512.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.82 : 1,206.08 = 341.52 : x
  2. Step 2: Convert to fraction form
    803.82/1,206.08 = 341.52/x
  3. Step 3: Cross multiply
    803.82x = 1,206.08 × 341.52
  4. Step 4: Simplify right side
    803.82x = 411,900.44
  5. Step 5: Solve for x
    x = 411,900.44/803.82
  6. Step 6: Final answer
    x = 512.43

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Why These Related Problems?

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