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Finding the Fourth Proportional to 594.56, 821.04 and 593.12

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Solution

The fourth proportional to 594.56, 821.04 and 593.12 is: 819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.56 : 821.04 = 593.12 : x
  2. Step 2: Convert to fraction form
    594.56/821.04 = 593.12/x
  3. Step 3: Cross multiply
    594.56x = 821.04 × 593.12
  4. Step 4: Simplify right side
    594.56x = 486,975.24
  5. Step 5: Solve for x
    x = 486,975.24/594.56
  6. Step 6: Final answer
    x = 819.05

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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.