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Finding the Fourth Proportional to 1,020.89, 1,523.94 and 944.75

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Solution

The fourth proportional to 1,020.89, 1,523.94 and 944.75 is: 1,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.89 : 1,523.94 = 944.75 : x
  2. Step 2: Convert to fraction form
    1,020.89/1,523.94 = 944.75/x
  3. Step 3: Cross multiply
    1,020.89x = 1,523.94 × 944.75
  4. Step 4: Simplify right side
    1,020.89x = 1,439,742.32
  5. Step 5: Solve for x
    x = 1,439,742.32/1,020.89
  6. Step 6: Final answer
    x = 1,410.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.