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Finding the Fourth Proportional to 1,396.34, 1,928.24 and 899.84

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Solution

The fourth proportional to 1,396.34, 1,928.24 and 899.84 is: 1,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.34 : 1,928.24 = 899.84 : x
  2. Step 2: Convert to fraction form
    1,396.34/1,928.24 = 899.84/x
  3. Step 3: Cross multiply
    1,396.34x = 1,928.24 × 899.84
  4. Step 4: Simplify right side
    1,396.34x = 1,735,100.09
  5. Step 5: Solve for x
    x = 1,735,100.09/1,396.34
  6. Step 6: Final answer
    x = 1,242.61

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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.