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Finding the Fourth Proportional to 1,484.87, 2,224.87 and 510.44

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Solution

The fourth proportional to 1,484.87, 2,224.87 and 510.44 is: 764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.87 : 2,224.87 = 510.44 : x
  2. Step 2: Convert to fraction form
    1,484.87/2,224.87 = 510.44/x
  3. Step 3: Cross multiply
    1,484.87x = 2,224.87 × 510.44
  4. Step 4: Simplify right side
    1,484.87x = 1,135,662.64
  5. Step 5: Solve for x
    x = 1,135,662.64/1,484.87
  6. Step 6: Final answer
    x = 764.82

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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.