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Finding the Fourth Proportional to 873.87, 1,205.73 and 593.61

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Solution

The fourth proportional to 873.87, 1,205.73 and 593.61 is: 819.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.87 : 1,205.73 = 593.61 : x
  2. Step 2: Convert to fraction form
    873.87/1,205.73 = 593.61/x
  3. Step 3: Cross multiply
    873.87x = 1,205.73 × 593.61
  4. Step 4: Simplify right side
    873.87x = 715,733.39
  5. Step 5: Solve for x
    x = 715,733.39/873.87
  6. Step 6: Final answer
    x = 819.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.