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Finding the Fourth Proportional to 745.78, 1,118.82 and 283.55

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Solution

The fourth proportional to 745.78, 1,118.82 and 283.55 is: 425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.78 : 1,118.82 = 283.55 : x
  2. Step 2: Convert to fraction form
    745.78/1,118.82 = 283.55/x
  3. Step 3: Cross multiply
    745.78x = 1,118.82 × 283.55
  4. Step 4: Simplify right side
    745.78x = 317,241.41
  5. Step 5: Solve for x
    x = 317,241.41/745.78
  6. Step 6: Final answer
    x = 425.38

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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.