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Finding the Fourth Proportional to 655.62, 980.52 and 582.96

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Solution

The fourth proportional to 655.62, 980.52 and 582.96 is: 871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.62 : 980.52 = 582.96 : x
  2. Step 2: Convert to fraction form
    655.62/980.52 = 582.96/x
  3. Step 3: Cross multiply
    655.62x = 980.52 × 582.96
  4. Step 4: Simplify right side
    655.62x = 571,603.94
  5. Step 5: Solve for x
    x = 571,603.94/655.62
  6. Step 6: Final answer
    x = 871.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.