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Finding the Fourth Proportional to 1,455.06, 2,183.20 and 632.92

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Solution

The fourth proportional to 1,455.06, 2,183.20 and 632.92 is: 949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.06 : 2,183.20 = 632.92 : x
  2. Step 2: Convert to fraction form
    1,455.06/2,183.20 = 632.92/x
  3. Step 3: Cross multiply
    1,455.06x = 2,183.20 × 632.92
  4. Step 4: Simplify right side
    1,455.06x = 1,381,790.94
  5. Step 5: Solve for x
    x = 1,381,790.94/1,455.06
  6. Step 6: Final answer
    x = 949.65

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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.