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Finding the Fourth Proportional to 734.20, 1,009.97 and 613.91

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Solution

The fourth proportional to 734.20, 1,009.97 and 613.91 is: 844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.20 : 1,009.97 = 613.91 : x
  2. Step 2: Convert to fraction form
    734.20/1,009.97 = 613.91/x
  3. Step 3: Cross multiply
    734.20x = 1,009.97 × 613.91
  4. Step 4: Simplify right side
    734.20x = 620,032.44
  5. Step 5: Solve for x
    x = 620,032.44/734.20
  6. Step 6: Final answer
    x = 844.50

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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.