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Finding the Fourth Proportional to 589.96, 819.04 and 572.14

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Solution

The fourth proportional to 589.96, 819.04 and 572.14 is: 794.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.96 : 819.04 = 572.14 : x
  2. Step 2: Convert to fraction form
    589.96/819.04 = 572.14/x
  3. Step 3: Cross multiply
    589.96x = 819.04 × 572.14
  4. Step 4: Simplify right side
    589.96x = 468,605.55
  5. Step 5: Solve for x
    x = 468,605.55/589.96
  6. Step 6: Final answer
    x = 794.30

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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.