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Finding the Fourth Proportional to 741.70, 1,023.81 and 493.09

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Solution

The fourth proportional to 741.70, 1,023.81 and 493.09 is: 680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.70 : 1,023.81 = 493.09 : x
  2. Step 2: Convert to fraction form
    741.70/1,023.81 = 493.09/x
  3. Step 3: Cross multiply
    741.70x = 1,023.81 × 493.09
  4. Step 4: Simplify right side
    741.70x = 504,826.06
  5. Step 5: Solve for x
    x = 504,826.06/741.70
  6. Step 6: Final answer
    x = 680.63

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1.5x scale

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.