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Finding the Fourth Proportional to 803.73, 1,204.39 and 584.77

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Solution

The fourth proportional to 803.73, 1,204.39 and 584.77 is: 876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.73 : 1,204.39 = 584.77 : x
  2. Step 2: Convert to fraction form
    803.73/1,204.39 = 584.77/x
  3. Step 3: Cross multiply
    803.73x = 1,204.39 × 584.77
  4. Step 4: Simplify right side
    803.73x = 704,286.67
  5. Step 5: Solve for x
    x = 704,286.67/803.73
  6. Step 6: Final answer
    x = 876.27

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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.