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Finding the Fourth Proportional to 1,019.11, 1,406.41 and 626.26

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Solution

The fourth proportional to 1,019.11, 1,406.41 and 626.26 is: 864.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.11 : 1,406.41 = 626.26 : x
  2. Step 2: Convert to fraction form
    1,019.11/1,406.41 = 626.26/x
  3. Step 3: Cross multiply
    1,019.11x = 1,406.41 × 626.26
  4. Step 4: Simplify right side
    1,019.11x = 880,778.33
  5. Step 5: Solve for x
    x = 880,778.33/1,019.11
  6. Step 6: Final answer
    x = 864.26

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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.