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Finding the Fourth Proportional to 741.63, 1,112.75 and 453.07

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Solution

The fourth proportional to 741.63, 1,112.75 and 453.07 is: 679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.63 : 1,112.75 = 453.07 : x
  2. Step 2: Convert to fraction form
    741.63/1,112.75 = 453.07/x
  3. Step 3: Cross multiply
    741.63x = 1,112.75 × 453.07
  4. Step 4: Simplify right side
    741.63x = 504,153.64
  5. Step 5: Solve for x
    x = 504,153.64/741.63
  6. Step 6: Final answer
    x = 679.79

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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.