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Finding the Fourth Proportional to 905.41, 1,358.48 and 722.53

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Solution

The fourth proportional to 905.41, 1,358.48 and 722.53 is: 1,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.41 : 1,358.48 = 722.53 : x
  2. Step 2: Convert to fraction form
    905.41/1,358.48 = 722.53/x
  3. Step 3: Cross multiply
    905.41x = 1,358.48 × 722.53
  4. Step 4: Simplify right side
    905.41x = 981,542.55
  5. Step 5: Solve for x
    x = 981,542.55/905.41
  6. Step 6: Final answer
    x = 1,084.09

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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.