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Finding the Fourth Proportional to 1,485.25, 2,049.83 and 864.25

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Solution

The fourth proportional to 1,485.25, 2,049.83 and 864.25 is: 1,192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.25 : 2,049.83 = 864.25 : x
  2. Step 2: Convert to fraction form
    1,485.25/2,049.83 = 864.25/x
  3. Step 3: Cross multiply
    1,485.25x = 2,049.83 × 864.25
  4. Step 4: Simplify right side
    1,485.25x = 1,771,561.26
  5. Step 5: Solve for x
    x = 1,771,561.26/1,485.25
  6. Step 6: Final answer
    x = 1,192.77

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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.