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Finding the Fourth Proportional to 1,379.96, 1,904.64 and 849.30

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Solution

The fourth proportional to 1,379.96, 1,904.64 and 849.30 is: 1,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.96 : 1,904.64 = 849.30 : x
  2. Step 2: Convert to fraction form
    1,379.96/1,904.64 = 849.30/x
  3. Step 3: Cross multiply
    1,379.96x = 1,904.64 × 849.30
  4. Step 4: Simplify right side
    1,379.96x = 1,617,601.23
  5. Step 5: Solve for x
    x = 1,617,601.23/1,379.96
  6. Step 6: Final answer
    x = 1,172.21

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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.