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Finding the Fourth Proportional to 1,202.60, 1,659.54 and 809

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Solution

The fourth proportional to 1,202.60, 1,659.54 and 809 is: 1,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.60 : 1,659.54 = 809 : x
  2. Step 2: Convert to fraction form
    1,202.60/1,659.54 = 809/x
  3. Step 3: Cross multiply
    1,202.60x = 1,659.54 × 809
  4. Step 4: Simplify right side
    1,202.60x = 1,342,567.86
  5. Step 5: Solve for x
    x = 1,342,567.86/1,202.60
  6. Step 6: Final answer
    x = 1,116.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.