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Finding the Fourth Proportional to 1,214.70, 1,819.35 and 983.04

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Solution

The fourth proportional to 1,214.70, 1,819.35 and 983.04 is: 1,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.70 : 1,819.35 = 983.04 : x
  2. Step 2: Convert to fraction form
    1,214.70/1,819.35 = 983.04/x
  3. Step 3: Cross multiply
    1,214.70x = 1,819.35 × 983.04
  4. Step 4: Simplify right side
    1,214.70x = 1,788,493.82
  5. Step 5: Solve for x
    x = 1,788,493.82/1,214.70
  6. Step 6: Final answer
    x = 1,472.37

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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.