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Finding the Fourth Proportional to 1,467.02, 2,200.58 and 493.13

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Solution

The fourth proportional to 1,467.02, 2,200.58 and 493.13 is: 739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.02 : 2,200.58 = 493.13 : x
  2. Step 2: Convert to fraction form
    1,467.02/2,200.58 = 493.13/x
  3. Step 3: Cross multiply
    1,467.02x = 2,200.58 × 493.13
  4. Step 4: Simplify right side
    1,467.02x = 1,085,176.90
  5. Step 5: Solve for x
    x = 1,085,176.90/1,467.02
  6. Step 6: Final answer
    x = 739.71

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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.