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Finding the Fourth Proportional to 745.67, 1,029.01 and 414.09

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Solution

The fourth proportional to 745.67, 1,029.01 and 414.09 is: 571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.67 : 1,029.01 = 414.09 : x
  2. Step 2: Convert to fraction form
    745.67/1,029.01 = 414.09/x
  3. Step 3: Cross multiply
    745.67x = 1,029.01 × 414.09
  4. Step 4: Simplify right side
    745.67x = 426,100.43
  5. Step 5: Solve for x
    x = 426,100.43/745.67
  6. Step 6: Final answer
    x = 571.43

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Why These Related Problems?

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