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Finding the Fourth Proportional to 595.84, 819.82 and 582.03

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Solution

The fourth proportional to 595.84, 819.82 and 582.03 is: 800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.84 : 819.82 = 582.03 : x
  2. Step 2: Convert to fraction form
    595.84/819.82 = 582.03/x
  3. Step 3: Cross multiply
    595.84x = 819.82 × 582.03
  4. Step 4: Simplify right side
    595.84x = 477,159.83
  5. Step 5: Solve for x
    x = 477,159.83/595.84
  6. Step 6: Final answer
    x = 800.82

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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.