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Finding the Fourth Proportional to 905.68, 1,355.57 and 493.79

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Solution

The fourth proportional to 905.68, 1,355.57 and 493.79 is: 739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.68 : 1,355.57 = 493.79 : x
  2. Step 2: Convert to fraction form
    905.68/1,355.57 = 493.79/x
  3. Step 3: Cross multiply
    905.68x = 1,355.57 × 493.79
  4. Step 4: Simplify right side
    905.68x = 669,364.44
  5. Step 5: Solve for x
    x = 669,364.44/905.68
  6. Step 6: Final answer
    x = 739.08

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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.