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Finding the Fourth Proportional to 1,467.71, 2,202.27 and 645.86

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Solution

The fourth proportional to 1,467.71, 2,202.27 and 645.86 is: 969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.71 : 2,202.27 = 645.86 : x
  2. Step 2: Convert to fraction form
    1,467.71/2,202.27 = 645.86/x
  3. Step 3: Cross multiply
    1,467.71x = 2,202.27 × 645.86
  4. Step 4: Simplify right side
    1,467.71x = 1,422,358.10
  5. Step 5: Solve for x
    x = 1,422,358.10/1,467.71
  6. Step 6: Final answer
    x = 969.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.