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Finding the Fourth Proportional to 1,396.96, 1,927.84 and 767.50

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Solution

The fourth proportional to 1,396.96, 1,927.84 and 767.50 is: 1,059.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.96 : 1,927.84 = 767.50 : x
  2. Step 2: Convert to fraction form
    1,396.96/1,927.84 = 767.50/x
  3. Step 3: Cross multiply
    1,396.96x = 1,927.84 × 767.50
  4. Step 4: Simplify right side
    1,396.96x = 1,479,617.58
  5. Step 5: Solve for x
    x = 1,479,617.58/1,396.96
  6. Step 6: Final answer
    x = 1,059.17

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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.