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Finding the Fourth Proportional to 745.40, 1,026.06 and 680.60

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Solution

The fourth proportional to 745.40, 1,026.06 and 680.60 is: 936.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.40 : 1,026.06 = 680.60 : x
  2. Step 2: Convert to fraction form
    745.40/1,026.06 = 680.60/x
  3. Step 3: Cross multiply
    745.40x = 1,026.06 × 680.60
  4. Step 4: Simplify right side
    745.40x = 698,336.44
  5. Step 5: Solve for x
    x = 698,336.44/745.40
  6. Step 6: Final answer
    x = 936.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.