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Finding the Fourth Proportional to 1,476.39, 2,214.45 and 643.43

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Solution

The fourth proportional to 1,476.39, 2,214.45 and 643.43 is: 965.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.39 : 2,214.45 = 643.43 : x
  2. Step 2: Convert to fraction form
    1,476.39/2,214.45 = 643.43/x
  3. Step 3: Cross multiply
    1,476.39x = 2,214.45 × 643.43
  4. Step 4: Simplify right side
    1,476.39x = 1,424,843.56
  5. Step 5: Solve for x
    x = 1,424,843.56/1,476.39
  6. Step 6: Final answer
    x = 965.09

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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.