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Finding the Fourth Proportional to 1,485.79, 2,227.01 and 704.71

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Solution

The fourth proportional to 1,485.79, 2,227.01 and 704.71 is: 1,056.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.79 : 2,227.01 = 704.71 : x
  2. Step 2: Convert to fraction form
    1,485.79/2,227.01 = 704.71/x
  3. Step 3: Cross multiply
    1,485.79x = 2,227.01 × 704.71
  4. Step 4: Simplify right side
    1,485.79x = 1,569,394.78
  5. Step 5: Solve for x
    x = 1,569,394.78/1,485.79
  6. Step 6: Final answer
    x = 1,056.27

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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.