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Finding the Fourth Proportional to 1,467.90, 2,200.56 and 645.54

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Solution

The fourth proportional to 1,467.90, 2,200.56 and 645.54 is: 967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.90 : 2,200.56 = 645.54 : x
  2. Step 2: Convert to fraction form
    1,467.90/2,200.56 = 645.54/x
  3. Step 3: Cross multiply
    1,467.90x = 2,200.56 × 645.54
  4. Step 4: Simplify right side
    1,467.90x = 1,420,549.50
  5. Step 5: Solve for x
    x = 1,420,549.50/1,467.90
  6. Step 6: Final answer
    x = 967.74

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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.