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Finding the Fourth Proportional to 745.94, 1,119.24 and 283.86

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Solution

The fourth proportional to 745.94, 1,119.24 and 283.86 is: 425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.94 : 1,119.24 = 283.86 : x
  2. Step 2: Convert to fraction form
    745.94/1,119.24 = 283.86/x
  3. Step 3: Cross multiply
    745.94x = 1,119.24 × 283.86
  4. Step 4: Simplify right side
    745.94x = 317,706.05
  5. Step 5: Solve for x
    x = 317,706.05/745.94
  6. Step 6: Final answer
    x = 425.91

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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.