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Finding the Fourth Proportional to 1,455.66, 2,183.58 and 360.05

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Solution

The fourth proportional to 1,455.66, 2,183.58 and 360.05 is: 540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.66 : 2,183.58 = 360.05 : x
  2. Step 2: Convert to fraction form
    1,455.66/2,183.58 = 360.05/x
  3. Step 3: Cross multiply
    1,455.66x = 2,183.58 × 360.05
  4. Step 4: Simplify right side
    1,455.66x = 786,187.06
  5. Step 5: Solve for x
    x = 786,187.06/1,455.66
  6. Step 6: Final answer
    x = 540.09

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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.