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Finding the Fourth Proportional to 1,450.99, 2,002.16 and 829.87

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Solution

The fourth proportional to 1,450.99, 2,002.16 and 829.87 is: 1,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.99 : 2,002.16 = 829.87 : x
  2. Step 2: Convert to fraction form
    1,450.99/2,002.16 = 829.87/x
  3. Step 3: Cross multiply
    1,450.99x = 2,002.16 × 829.87
  4. Step 4: Simplify right side
    1,450.99x = 1,661,528.37
  5. Step 5: Solve for x
    x = 1,661,528.37/1,450.99
  6. Step 6: Final answer
    x = 1,145.10

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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.