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Finding the Fourth Proportional to 1,334.30, 1,840.73 and 836.69

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Solution

The fourth proportional to 1,334.30, 1,840.73 and 836.69 is: 1,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.30 : 1,840.73 = 836.69 : x
  2. Step 2: Convert to fraction form
    1,334.30/1,840.73 = 836.69/x
  3. Step 3: Cross multiply
    1,334.30x = 1,840.73 × 836.69
  4. Step 4: Simplify right side
    1,334.30x = 1,540,107.00
  5. Step 5: Solve for x
    x = 1,540,107.00/1,334.30
  6. Step 6: Final answer
    x = 1,154.25

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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.