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Finding the Fourth Proportional to 745.78, 1,029.48 and 450.98

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Solution

The fourth proportional to 745.78, 1,029.48 and 450.98 is: 622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.78 : 1,029.48 = 450.98 : x
  2. Step 2: Convert to fraction form
    745.78/1,029.48 = 450.98/x
  3. Step 3: Cross multiply
    745.78x = 1,029.48 × 450.98
  4. Step 4: Simplify right side
    745.78x = 464,274.89
  5. Step 5: Solve for x
    x = 464,274.89/745.78
  6. Step 6: Final answer
    x = 622.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.