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Finding the Fourth Proportional to 1,019.79, 1,408.03 and 900.86

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Solution

The fourth proportional to 1,019.79, 1,408.03 and 900.86 is: 1,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.79 : 1,408.03 = 900.86 : x
  2. Step 2: Convert to fraction form
    1,019.79/1,408.03 = 900.86/x
  3. Step 3: Cross multiply
    1,019.79x = 1,408.03 × 900.86
  4. Step 4: Simplify right side
    1,019.79x = 1,268,429.25
  5. Step 5: Solve for x
    x = 1,268,429.25/1,019.79
  6. Step 6: Final answer
    x = 1,243.81

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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.