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Finding the Fourth Proportional to 1,496.42, 2,244.41 and 509.39

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Solution

The fourth proportional to 1,496.42, 2,244.41 and 509.39 is: 764.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.42 : 2,244.41 = 509.39 : x
  2. Step 2: Convert to fraction form
    1,496.42/2,244.41 = 509.39/x
  3. Step 3: Cross multiply
    1,496.42x = 2,244.41 × 509.39
  4. Step 4: Simplify right side
    1,496.42x = 1,143,276.57
  5. Step 5: Solve for x
    x = 1,143,276.57/1,496.42
  6. Step 6: Final answer
    x = 764.01

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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.