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Finding the Fourth Proportional to 1,467.94, 2,200.68 and 645.59

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Solution

The fourth proportional to 1,467.94, 2,200.68 and 645.59 is: 967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.94 : 2,200.68 = 645.59 : x
  2. Step 2: Convert to fraction form
    1,467.94/2,200.68 = 645.59/x
  3. Step 3: Cross multiply
    1,467.94x = 2,200.68 × 645.59
  4. Step 4: Simplify right side
    1,467.94x = 1,420,737.00
  5. Step 5: Solve for x
    x = 1,420,737.00/1,467.94
  6. Step 6: Final answer
    x = 967.84

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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.