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Finding the Fourth Proportional to 1,349.84, 1,863.96 and 826.64

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Solution

The fourth proportional to 1,349.84, 1,863.96 and 826.64 is: 1,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.84 : 1,863.96 = 826.64 : x
  2. Step 2: Convert to fraction form
    1,349.84/1,863.96 = 826.64/x
  3. Step 3: Cross multiply
    1,349.84x = 1,863.96 × 826.64
  4. Step 4: Simplify right side
    1,349.84x = 1,540,823.89
  5. Step 5: Solve for x
    x = 1,540,823.89/1,349.84
  6. Step 6: Final answer
    x = 1,141.49

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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.