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Finding the Fourth Proportional to 1,347.40, 2,021.49 and 481.78

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Solution

The fourth proportional to 1,347.40, 2,021.49 and 481.78 is: 722.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.40 : 2,021.49 = 481.78 : x
  2. Step 2: Convert to fraction form
    1,347.40/2,021.49 = 481.78/x
  3. Step 3: Cross multiply
    1,347.40x = 2,021.49 × 481.78
  4. Step 4: Simplify right side
    1,347.40x = 973,913.45
  5. Step 5: Solve for x
    x = 973,913.45/1,347.40
  6. Step 6: Final answer
    x = 722.81

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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.