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Finding the Fourth Proportional to 734.18, 1,012.60 and 650.24

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Solution

The fourth proportional to 734.18, 1,012.60 and 650.24 is: 896.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.18 : 1,012.60 = 650.24 : x
  2. Step 2: Convert to fraction form
    734.18/1,012.60 = 650.24/x
  3. Step 3: Cross multiply
    734.18x = 1,012.60 × 650.24
  4. Step 4: Simplify right side
    734.18x = 658,438.27
  5. Step 5: Solve for x
    x = 658,438.27/734.18
  6. Step 6: Final answer
    x = 896.83

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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.