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Finding the Fourth Proportional to 800.36, 1,199.82 and 287

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Solution

The fourth proportional to 800.36, 1,199.82 and 287 is: 430.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.36 : 1,199.82 = 287 : x
  2. Step 2: Convert to fraction form
    800.36/1,199.82 = 287/x
  3. Step 3: Cross multiply
    800.36x = 1,199.82 × 287
  4. Step 4: Simplify right side
    800.36x = 344,348.34
  5. Step 5: Solve for x
    x = 344,348.34/800.36
  6. Step 6: Final answer
    x = 430.24

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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.