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Finding the Fourth Proportional to 1,494.23, 2,241.47 and 454.33

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Solution

The fourth proportional to 1,494.23, 2,241.47 and 454.33 is: 681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.23 : 2,241.47 = 454.33 : x
  2. Step 2: Convert to fraction form
    1,494.23/2,241.47 = 454.33/x
  3. Step 3: Cross multiply
    1,494.23x = 2,241.47 × 454.33
  4. Step 4: Simplify right side
    1,494.23x = 1,018,367.85
  5. Step 5: Solve for x
    x = 1,018,367.85/1,494.23
  6. Step 6: Final answer
    x = 681.53

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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.