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Finding the Fourth Proportional to 1,467.67, 2,201.01 and 589.75

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Solution

The fourth proportional to 1,467.67, 2,201.01 and 589.75 is: 884.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.67 : 2,201.01 = 589.75 : x
  2. Step 2: Convert to fraction form
    1,467.67/2,201.01 = 589.75/x
  3. Step 3: Cross multiply
    1,467.67x = 2,201.01 × 589.75
  4. Step 4: Simplify right side
    1,467.67x = 1,298,045.65
  5. Step 5: Solve for x
    x = 1,298,045.65/1,467.67
  6. Step 6: Final answer
    x = 884.43

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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.