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Finding the Fourth Proportional to 1,396.29, 2,091.27 and 802.56

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Solution

The fourth proportional to 1,396.29, 2,091.27 and 802.56 is: 1,202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.29 : 2,091.27 = 802.56 : x
  2. Step 2: Convert to fraction form
    1,396.29/2,091.27 = 802.56/x
  3. Step 3: Cross multiply
    1,396.29x = 2,091.27 × 802.56
  4. Step 4: Simplify right side
    1,396.29x = 1,678,369.65
  5. Step 5: Solve for x
    x = 1,678,369.65/1,396.29
  6. Step 6: Final answer
    x = 1,202.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.