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Finding the Fourth Proportional to 1,493.48, 2,240.22 and 397.79

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Solution

The fourth proportional to 1,493.48, 2,240.22 and 397.79 is: 596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.48 : 2,240.22 = 397.79 : x
  2. Step 2: Convert to fraction form
    1,493.48/2,240.22 = 397.79/x
  3. Step 3: Cross multiply
    1,493.48x = 2,240.22 × 397.79
  4. Step 4: Simplify right side
    1,493.48x = 891,123.92
  5. Step 5: Solve for x
    x = 891,123.92/1,493.48
  6. Step 6: Final answer
    x = 596.68

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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.