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Finding the Fourth Proportional to 745.60, 1,028.94 and 414.03

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Solution

The fourth proportional to 745.60, 1,028.94 and 414.03 is: 571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.60 : 1,028.94 = 414.03 : x
  2. Step 2: Convert to fraction form
    745.60/1,028.94 = 414.03/x
  3. Step 3: Cross multiply
    745.60x = 1,028.94 × 414.03
  4. Step 4: Simplify right side
    745.60x = 426,012.03
  5. Step 5: Solve for x
    x = 426,012.03/745.60
  6. Step 6: Final answer
    x = 571.37

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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.