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Finding the Fourth Proportional to 1,465.35, 2,198.05 and 540.55

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Solution

The fourth proportional to 1,465.35, 2,198.05 and 540.55 is: 810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.35 : 2,198.05 = 540.55 : x
  2. Step 2: Convert to fraction form
    1,465.35/2,198.05 = 540.55/x
  3. Step 3: Cross multiply
    1,465.35x = 2,198.05 × 540.55
  4. Step 4: Simplify right side
    1,465.35x = 1,188,153.22
  5. Step 5: Solve for x
    x = 1,188,153.22/1,465.35
  6. Step 6: Final answer
    x = 810.83

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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.