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Finding the Fourth Proportional to 1,185.60, 1,777.46 and 819.32

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Solution

The fourth proportional to 1,185.60, 1,777.46 and 819.32 is: 1,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.60 : 1,777.46 = 819.32 : x
  2. Step 2: Convert to fraction form
    1,185.60/1,777.46 = 819.32/x
  3. Step 3: Cross multiply
    1,185.60x = 1,777.46 × 819.32
  4. Step 4: Simplify right side
    1,185.60x = 1,456,308.53
  5. Step 5: Solve for x
    x = 1,456,308.53/1,185.60
  6. Step 6: Final answer
    x = 1,228.33

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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.