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Finding the Fourth Proportional to 1,455.43, 2,183.11 and 359.80

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Solution

The fourth proportional to 1,455.43, 2,183.11 and 359.80 is: 539.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.43 : 2,183.11 = 359.80 : x
  2. Step 2: Convert to fraction form
    1,455.43/2,183.11 = 359.80/x
  3. Step 3: Cross multiply
    1,455.43x = 2,183.11 × 359.80
  4. Step 4: Simplify right side
    1,455.43x = 785,482.98
  5. Step 5: Solve for x
    x = 785,482.98/1,455.43
  6. Step 6: Final answer
    x = 539.69

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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.