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Finding the Fourth Proportional to 745.89, 1,118.39 and 380.94

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Solution

The fourth proportional to 745.89, 1,118.39 and 380.94 is: 571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.89 : 1,118.39 = 380.94 : x
  2. Step 2: Convert to fraction form
    745.89/1,118.39 = 380.94/x
  3. Step 3: Cross multiply
    745.89x = 1,118.39 × 380.94
  4. Step 4: Simplify right side
    745.89x = 426,037.58
  5. Step 5: Solve for x
    x = 426,037.58/745.89
  6. Step 6: Final answer
    x = 571.18

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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.