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Finding the Fourth Proportional to 745.56, 1,118.33 and 197.76

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Solution

The fourth proportional to 745.56, 1,118.33 and 197.76 is: 296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.56 : 1,118.33 = 197.76 : x
  2. Step 2: Convert to fraction form
    745.56/1,118.33 = 197.76/x
  3. Step 3: Cross multiply
    745.56x = 1,118.33 × 197.76
  4. Step 4: Simplify right side
    745.56x = 221,161.44
  5. Step 5: Solve for x
    x = 221,161.44/745.56
  6. Step 6: Final answer
    x = 296.64

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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.