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Finding the Fourth Proportional to 1,019.78, 1,406.67 and 889.10

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Solution

The fourth proportional to 1,019.78, 1,406.67 and 889.10 is: 1,226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.78 : 1,406.67 = 889.10 : x
  2. Step 2: Convert to fraction form
    1,019.78/1,406.67 = 889.10/x
  3. Step 3: Cross multiply
    1,019.78x = 1,406.67 × 889.10
  4. Step 4: Simplify right side
    1,019.78x = 1,250,670.30
  5. Step 5: Solve for x
    x = 1,250,670.30/1,019.78
  6. Step 6: Final answer
    x = 1,226.41

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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.