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Finding the Fourth Proportional to 656.20, 986.70 and 550.60

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Solution

The fourth proportional to 656.20, 986.70 and 550.60 is: 827.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.20 : 986.70 = 550.60 : x
  2. Step 2: Convert to fraction form
    656.20/986.70 = 550.60/x
  3. Step 3: Cross multiply
    656.20x = 986.70 × 550.60
  4. Step 4: Simplify right side
    656.20x = 543,277.02
  5. Step 5: Solve for x
    x = 543,277.02/656.20
  6. Step 6: Final answer
    x = 827.91

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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.