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Finding the Fourth Proportional to 1,212.31, 1,819.00 and 442.63

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Solution

The fourth proportional to 1,212.31, 1,819.00 and 442.63 is: 664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.31 : 1,819.00 = 442.63 : x
  2. Step 2: Convert to fraction form
    1,212.31/1,819.00 = 442.63/x
  3. Step 3: Cross multiply
    1,212.31x = 1,819.00 × 442.63
  4. Step 4: Simplify right side
    1,212.31x = 805,133.77
  5. Step 5: Solve for x
    x = 805,133.77/1,212.31
  6. Step 6: Final answer
    x = 664.13

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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.