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Finding the Fourth Proportional to 745.82, 1,029.12 and 431.10

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Solution

The fourth proportional to 745.82, 1,029.12 and 431.10 is: 594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.82 : 1,029.12 = 431.10 : x
  2. Step 2: Convert to fraction form
    745.82/1,029.12 = 431.10/x
  3. Step 3: Cross multiply
    745.82x = 1,029.12 × 431.10
  4. Step 4: Simplify right side
    745.82x = 443,653.63
  5. Step 5: Solve for x
    x = 443,653.63/745.82
  6. Step 6: Final answer
    x = 594.85

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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.