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Finding the Fourth Proportional to 808.99, 1,212.12 and 778.60

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Solution

The fourth proportional to 808.99, 1,212.12 and 778.60 is: 1,166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.99 : 1,212.12 = 778.60 : x
  2. Step 2: Convert to fraction form
    808.99/1,212.12 = 778.60/x
  3. Step 3: Cross multiply
    808.99x = 1,212.12 × 778.60
  4. Step 4: Simplify right side
    808.99x = 943,756.63
  5. Step 5: Solve for x
    x = 943,756.63/808.99
  6. Step 6: Final answer
    x = 1,166.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.