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Finding the Fourth Proportional to 721.84, 997.12 and 582.52

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Solution

The fourth proportional to 721.84, 997.12 and 582.52 is: 804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.84 : 997.12 = 582.52 : x
  2. Step 2: Convert to fraction form
    721.84/997.12 = 582.52/x
  3. Step 3: Cross multiply
    721.84x = 997.12 × 582.52
  4. Step 4: Simplify right side
    721.84x = 580,842.34
  5. Step 5: Solve for x
    x = 580,842.34/721.84
  6. Step 6: Final answer
    x = 804.67

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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.