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Finding the Fourth Proportional to 745.94, 1,029.24 and 431.22

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Solution

The fourth proportional to 745.94, 1,029.24 and 431.22 is: 594.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.94 : 1,029.24 = 431.22 : x
  2. Step 2: Convert to fraction form
    745.94/1,029.24 = 431.22/x
  3. Step 3: Cross multiply
    745.94x = 1,029.24 × 431.22
  4. Step 4: Simplify right side
    745.94x = 443,828.87
  5. Step 5: Solve for x
    x = 443,828.87/745.94
  6. Step 6: Final answer
    x = 594.99

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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.