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Finding the Fourth Proportional to 744.89, 1,117.39 and 197.07

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Solution

The fourth proportional to 744.89, 1,117.39 and 197.07 is: 295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.89 : 1,117.39 = 197.07 : x
  2. Step 2: Convert to fraction form
    744.89/1,117.39 = 197.07/x
  3. Step 3: Cross multiply
    744.89x = 1,117.39 × 197.07
  4. Step 4: Simplify right side
    744.89x = 220,197.48
  5. Step 5: Solve for x
    x = 220,197.48/744.89
  6. Step 6: Final answer
    x = 295.61

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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.