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Finding the Fourth Proportional to 745.34, 1,028.42 and 434.78

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Solution

The fourth proportional to 745.34, 1,028.42 and 434.78 is: 599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.34 : 1,028.42 = 434.78 : x
  2. Step 2: Convert to fraction form
    745.34/1,028.42 = 434.78/x
  3. Step 3: Cross multiply
    745.34x = 1,028.42 × 434.78
  4. Step 4: Simplify right side
    745.34x = 447,136.45
  5. Step 5: Solve for x
    x = 447,136.45/745.34
  6. Step 6: Final answer
    x = 599.91

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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.