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Finding the Fourth Proportional to 655.85, 982.62 and 584.35

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Solution

The fourth proportional to 655.85, 982.62 and 584.35 is: 875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.85 : 982.62 = 584.35 : x
  2. Step 2: Convert to fraction form
    655.85/982.62 = 584.35/x
  3. Step 3: Cross multiply
    655.85x = 982.62 × 584.35
  4. Step 4: Simplify right side
    655.85x = 574,193.60
  5. Step 5: Solve for x
    x = 574,193.60/655.85
  6. Step 6: Final answer
    x = 875.49

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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.