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Finding the Fourth Proportional to 1,396.19, 2,094.41 and 472.03

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Solution

The fourth proportional to 1,396.19, 2,094.41 and 472.03 is: 708.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.19 : 2,094.41 = 472.03 : x
  2. Step 2: Convert to fraction form
    1,396.19/2,094.41 = 472.03/x
  3. Step 3: Cross multiply
    1,396.19x = 2,094.41 × 472.03
  4. Step 4: Simplify right side
    1,396.19x = 988,617.64
  5. Step 5: Solve for x
    x = 988,617.64/1,396.19
  6. Step 6: Final answer
    x = 708.08

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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.