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Finding the Fourth Proportional to 1,465.53, 2,198.66 and 439.53

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Solution

The fourth proportional to 1,465.53, 2,198.66 and 439.53 is: 659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.53 : 2,198.66 = 439.53 : x
  2. Step 2: Convert to fraction form
    1,465.53/2,198.66 = 439.53/x
  3. Step 3: Cross multiply
    1,465.53x = 2,198.66 × 439.53
  4. Step 4: Simplify right side
    1,465.53x = 966,374.83
  5. Step 5: Solve for x
    x = 966,374.83/1,465.53
  6. Step 6: Final answer
    x = 659.40

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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.