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Finding the Fourth Proportional to 1,467.32, 2,200.96 and 589.81

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Solution

The fourth proportional to 1,467.32, 2,200.96 and 589.81 is: 884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.32 : 2,200.96 = 589.81 : x
  2. Step 2: Convert to fraction form
    1,467.32/2,200.96 = 589.81/x
  3. Step 3: Cross multiply
    1,467.32x = 2,200.96 × 589.81
  4. Step 4: Simplify right side
    1,467.32x = 1,298,148.22
  5. Step 5: Solve for x
    x = 1,298,148.22/1,467.32
  6. Step 6: Final answer
    x = 884.71

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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.