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Finding the Fourth Proportional to 1,212.98, 1,819.70 and 433.01

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Solution

The fourth proportional to 1,212.98, 1,819.70 and 433.01 is: 649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.98 : 1,819.70 = 433.01 : x
  2. Step 2: Convert to fraction form
    1,212.98/1,819.70 = 433.01/x
  3. Step 3: Cross multiply
    1,212.98x = 1,819.70 × 433.01
  4. Step 4: Simplify right side
    1,212.98x = 787,937.03
  5. Step 5: Solve for x
    x = 787,937.03/1,212.98
  6. Step 6: Final answer
    x = 649.59

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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.