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Finding the Fourth Proportional to 1,394.14, 1,921.27 and 1,000.48

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Solution

The fourth proportional to 1,394.14, 1,921.27 and 1,000.48 is: 1,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.14 : 1,921.27 = 1,000.48 : x
  2. Step 2: Convert to fraction form
    1,394.14/1,921.27 = 1,000.48/x
  3. Step 3: Cross multiply
    1,394.14x = 1,921.27 × 1,000.48
  4. Step 4: Simplify right side
    1,394.14x = 1,922,192.21
  5. Step 5: Solve for x
    x = 1,922,192.21/1,394.14
  6. Step 6: Final answer
    x = 1,378.77

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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.