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Finding the Fourth Proportional to 1,645.05, 2,468.18 and 778.75

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Solution

The fourth proportional to 1,645.05, 2,468.18 and 778.75 is: 1,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.05 : 2,468.18 = 778.75 : x
  2. Step 2: Convert to fraction form
    1,645.05/2,468.18 = 778.75/x
  3. Step 3: Cross multiply
    1,645.05x = 2,468.18 × 778.75
  4. Step 4: Simplify right side
    1,645.05x = 1,922,095.18
  5. Step 5: Solve for x
    x = 1,922,095.18/1,645.05
  6. Step 6: Final answer
    x = 1,168.41

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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.