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Finding the Fourth Proportional to 745.93, 1,029.39 and 414.37

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Solution

The fourth proportional to 745.93, 1,029.39 and 414.37 is: 571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.93 : 1,029.39 = 414.37 : x
  2. Step 2: Convert to fraction form
    745.93/1,029.39 = 414.37/x
  3. Step 3: Cross multiply
    745.93x = 1,029.39 × 414.37
  4. Step 4: Simplify right side
    745.93x = 426,543.19
  5. Step 5: Solve for x
    x = 426,543.19/745.93
  6. Step 6: Final answer
    x = 571.83

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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.