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Finding the Fourth Proportional to 595.89, 819.87 and 582.06

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Solution

The fourth proportional to 595.89, 819.87 and 582.06 is: 800.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.89 : 819.87 = 582.06 : x
  2. Step 2: Convert to fraction form
    595.89/819.87 = 582.06/x
  3. Step 3: Cross multiply
    595.89x = 819.87 × 582.06
  4. Step 4: Simplify right side
    595.89x = 477,213.53
  5. Step 5: Solve for x
    x = 477,213.53/595.89
  6. Step 6: Final answer
    x = 800.84

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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.