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Finding the Fourth Proportional to 1,467.24, 2,200.89 and 493.35

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Solution

The fourth proportional to 1,467.24, 2,200.89 and 493.35 is: 740.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.24 : 2,200.89 = 493.35 : x
  2. Step 2: Convert to fraction form
    1,467.24/2,200.89 = 493.35/x
  3. Step 3: Cross multiply
    1,467.24x = 2,200.89 × 493.35
  4. Step 4: Simplify right side
    1,467.24x = 1,085,809.08
  5. Step 5: Solve for x
    x = 1,085,809.08/1,467.24
  6. Step 6: Final answer
    x = 740.04

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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.