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Finding the Fourth Proportional to 1,384.39, 2,077.25 and 864.25

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Solution

The fourth proportional to 1,384.39, 2,077.25 and 864.25 is: 1,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.39 : 2,077.25 = 864.25 : x
  2. Step 2: Convert to fraction form
    1,384.39/2,077.25 = 864.25/x
  3. Step 3: Cross multiply
    1,384.39x = 2,077.25 × 864.25
  4. Step 4: Simplify right side
    1,384.39x = 1,795,263.31
  5. Step 5: Solve for x
    x = 1,795,263.31/1,384.39
  6. Step 6: Final answer
    x = 1,296.79

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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.