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Finding the Fourth Proportional to 1,396.45, 1,926.18 and 898.30

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Solution

The fourth proportional to 1,396.45, 1,926.18 and 898.30 is: 1,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.45 : 1,926.18 = 898.30 : x
  2. Step 2: Convert to fraction form
    1,396.45/1,926.18 = 898.30/x
  3. Step 3: Cross multiply
    1,396.45x = 1,926.18 × 898.30
  4. Step 4: Simplify right side
    1,396.45x = 1,730,287.49
  5. Step 5: Solve for x
    x = 1,730,287.49/1,396.45
  6. Step 6: Final answer
    x = 1,239.06

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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.