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Finding the Fourth Proportional to 1,394.16, 1,923.40 and 896.73

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Solution

The fourth proportional to 1,394.16, 1,923.40 and 896.73 is: 1,237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.16 : 1,923.40 = 896.73 : x
  2. Step 2: Convert to fraction form
    1,394.16/1,923.40 = 896.73/x
  3. Step 3: Cross multiply
    1,394.16x = 1,923.40 × 896.73
  4. Step 4: Simplify right side
    1,394.16x = 1,724,770.48
  5. Step 5: Solve for x
    x = 1,724,770.48/1,394.16
  6. Step 6: Final answer
    x = 1,237.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.