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Finding the Fourth Proportional to 1,396.64, 1,928.66 and 900.44

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Solution

The fourth proportional to 1,396.64, 1,928.66 and 900.44 is: 1,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.64 : 1,928.66 = 900.44 : x
  2. Step 2: Convert to fraction form
    1,396.64/1,928.66 = 900.44/x
  3. Step 3: Cross multiply
    1,396.64x = 1,928.66 × 900.44
  4. Step 4: Simplify right side
    1,396.64x = 1,736,642.61
  5. Step 5: Solve for x
    x = 1,736,642.61/1,396.64
  6. Step 6: Final answer
    x = 1,243.44

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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.