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Finding the Fourth Proportional to 1,480.94, 2,217.45 and 959.43

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Solution

The fourth proportional to 1,480.94, 2,217.45 and 959.43 is: 1,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.94 : 2,217.45 = 959.43 : x
  2. Step 2: Convert to fraction form
    1,480.94/2,217.45 = 959.43/x
  3. Step 3: Cross multiply
    1,480.94x = 2,217.45 × 959.43
  4. Step 4: Simplify right side
    1,480.94x = 2,127,488.05
  5. Step 5: Solve for x
    x = 2,127,488.05/1,480.94
  6. Step 6: Final answer
    x = 1,436.58

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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.