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Finding the Fourth Proportional to 1,192.99, 1,790 and 463.09

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Solution

The fourth proportional to 1,192.99, 1,790 and 463.09 is: 694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.99 : 1,790 = 463.09 : x
  2. Step 2: Convert to fraction form
    1,192.99/1,790 = 463.09/x
  3. Step 3: Cross multiply
    1,192.99x = 1,790 × 463.09
  4. Step 4: Simplify right side
    1,192.99x = 828,931.10
  5. Step 5: Solve for x
    x = 828,931.10/1,192.99
  6. Step 6: Final answer
    x = 694.83

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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.