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Finding the Fourth Proportional to 655.90, 984.63 and 552.94

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Solution

The fourth proportional to 655.90, 984.63 and 552.94 is: 830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.90 : 984.63 = 552.94 : x
  2. Step 2: Convert to fraction form
    655.90/984.63 = 552.94/x
  3. Step 3: Cross multiply
    655.90x = 984.63 × 552.94
  4. Step 4: Simplify right side
    655.90x = 544,441.31
  5. Step 5: Solve for x
    x = 544,441.31/655.90
  6. Step 6: Final answer
    x = 830.07

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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.