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Finding the Fourth Proportional to 1,396.53, 1,926.20 and 899.67

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Solution

The fourth proportional to 1,396.53, 1,926.20 and 899.67 is: 1,240.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.53 : 1,926.20 = 899.67 : x
  2. Step 2: Convert to fraction form
    1,396.53/1,926.20 = 899.67/x
  3. Step 3: Cross multiply
    1,396.53x = 1,926.20 × 899.67
  4. Step 4: Simplify right side
    1,396.53x = 1,732,939.86
  5. Step 5: Solve for x
    x = 1,732,939.86/1,396.53
  6. Step 6: Final answer
    x = 1,240.89

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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.