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Finding the Fourth Proportional to 655.62, 982.20 and 588

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Solution

The fourth proportional to 655.62, 982.20 and 588 is: 880.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.62 : 982.20 = 588 : x
  2. Step 2: Convert to fraction form
    655.62/982.20 = 588/x
  3. Step 3: Cross multiply
    655.62x = 982.20 × 588
  4. Step 4: Simplify right side
    655.62x = 577,533.60
  5. Step 5: Solve for x
    x = 577,533.60/655.62
  6. Step 6: Final answer
    x = 880.90

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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.