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Finding the Fourth Proportional to 746.05, 1,029.46 and 414.43

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Solution

The fourth proportional to 746.05, 1,029.46 and 414.43 is: 571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.05 : 1,029.46 = 414.43 : x
  2. Step 2: Convert to fraction form
    746.05/1,029.46 = 414.43/x
  3. Step 3: Cross multiply
    746.05x = 1,029.46 × 414.43
  4. Step 4: Simplify right side
    746.05x = 426,635.50
  5. Step 5: Solve for x
    x = 426,635.50/746.05
  6. Step 6: Final answer
    x = 571.86

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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.