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Finding the Fourth Proportional to 1,453.63, 2,006.06 and 832.75

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Solution

The fourth proportional to 1,453.63, 2,006.06 and 832.75 is: 1,149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.63 : 2,006.06 = 832.75 : x
  2. Step 2: Convert to fraction form
    1,453.63/2,006.06 = 832.75/x
  3. Step 3: Cross multiply
    1,453.63x = 2,006.06 × 832.75
  4. Step 4: Simplify right side
    1,453.63x = 1,670,540.41
  5. Step 5: Solve for x
    x = 1,670,540.41/1,453.63
  6. Step 6: Final answer
    x = 1,149.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.