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Finding the Fourth Proportional to 894.38, 1,342.56 and 675.68

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Solution

The fourth proportional to 894.38, 1,342.56 and 675.68 is: 1,014.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.38 : 1,342.56 = 675.68 : x
  2. Step 2: Convert to fraction form
    894.38/1,342.56 = 675.68/x
  3. Step 3: Cross multiply
    894.38x = 1,342.56 × 675.68
  4. Step 4: Simplify right side
    894.38x = 907,140.94
  5. Step 5: Solve for x
    x = 907,140.94/894.38
  6. Step 6: Final answer
    x = 1,014.27

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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.