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Finding the Fourth Proportional to 1,450.76, 2,002.08 and 829.76

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Solution

The fourth proportional to 1,450.76, 2,002.08 and 829.76 is: 1,145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.76 : 2,002.08 = 829.76 : x
  2. Step 2: Convert to fraction form
    1,450.76/2,002.08 = 829.76/x
  3. Step 3: Cross multiply
    1,450.76x = 2,002.08 × 829.76
  4. Step 4: Simplify right side
    1,450.76x = 1,661,245.90
  5. Step 5: Solve for x
    x = 1,661,245.90/1,450.76
  6. Step 6: Final answer
    x = 1,145.09

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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.