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Finding the Fourth Proportional to 746.01, 1,029.52 and 414.44

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Solution

The fourth proportional to 746.01, 1,029.52 and 414.44 is: 571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.01 : 1,029.52 = 414.44 : x
  2. Step 2: Convert to fraction form
    746.01/1,029.52 = 414.44/x
  3. Step 3: Cross multiply
    746.01x = 1,029.52 × 414.44
  4. Step 4: Simplify right side
    746.01x = 426,674.27
  5. Step 5: Solve for x
    x = 426,674.27/746.01
  6. Step 6: Final answer
    x = 571.94

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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.