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Finding the Fourth Proportional to 656.20, 980.87 and 492.04

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Solution

The fourth proportional to 656.20, 980.87 and 492.04 is: 735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.20 : 980.87 = 492.04 : x
  2. Step 2: Convert to fraction form
    656.20/980.87 = 492.04/x
  3. Step 3: Cross multiply
    656.20x = 980.87 × 492.04
  4. Step 4: Simplify right side
    656.20x = 482,627.27
  5. Step 5: Solve for x
    x = 482,627.27/656.20
  6. Step 6: Final answer
    x = 735.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.