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Finding the Fourth Proportional to 1,396.17, 1,926.75 and 899.78

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Solution

The fourth proportional to 1,396.17, 1,926.75 and 899.78 is: 1,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.17 : 1,926.75 = 899.78 : x
  2. Step 2: Convert to fraction form
    1,396.17/1,926.75 = 899.78/x
  3. Step 3: Cross multiply
    1,396.17x = 1,926.75 × 899.78
  4. Step 4: Simplify right side
    1,396.17x = 1,733,644.86
  5. Step 5: Solve for x
    x = 1,733,644.86/1,396.17
  6. Step 6: Final answer
    x = 1,241.71

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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.