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Finding the Fourth Proportional to 604.68, 837.84 and 591.72

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Solution

The fourth proportional to 604.68, 837.84 and 591.72 is: 819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.68 : 837.84 = 591.72 : x
  2. Step 2: Convert to fraction form
    604.68/837.84 = 591.72/x
  3. Step 3: Cross multiply
    604.68x = 837.84 × 591.72
  4. Step 4: Simplify right side
    604.68x = 495,766.68
  5. Step 5: Solve for x
    x = 495,766.68/604.68
  6. Step 6: Final answer
    x = 819.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.