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Finding the Fourth Proportional to 741.02, 1,021.89 and 488.49

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Solution

The fourth proportional to 741.02, 1,021.89 and 488.49 is: 673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.02 : 1,021.89 = 488.49 : x
  2. Step 2: Convert to fraction form
    741.02/1,021.89 = 488.49/x
  3. Step 3: Cross multiply
    741.02x = 1,021.89 × 488.49
  4. Step 4: Simplify right side
    741.02x = 499,183.05
  5. Step 5: Solve for x
    x = 499,183.05/741.02
  6. Step 6: Final answer
    x = 673.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.