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Finding the Fourth Proportional to 905.58, 1,358.37 and 677.43

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Solution

The fourth proportional to 905.58, 1,358.37 and 677.43 is: 1,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.58 : 1,358.37 = 677.43 : x
  2. Step 2: Convert to fraction form
    905.58/1,358.37 = 677.43/x
  3. Step 3: Cross multiply
    905.58x = 1,358.37 × 677.43
  4. Step 4: Simplify right side
    905.58x = 920,200.59
  5. Step 5: Solve for x
    x = 920,200.59/905.58
  6. Step 6: Final answer
    x = 1,016.15

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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.