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Finding the Fourth Proportional to 673.08, 1,010.14 and 413.38

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Solution

The fourth proportional to 673.08, 1,010.14 and 413.38 is: 620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.08 : 1,010.14 = 413.38 : x
  2. Step 2: Convert to fraction form
    673.08/1,010.14 = 413.38/x
  3. Step 3: Cross multiply
    673.08x = 1,010.14 × 413.38
  4. Step 4: Simplify right side
    673.08x = 417,571.67
  5. Step 5: Solve for x
    x = 417,571.67/673.08
  6. Step 6: Final answer
    x = 620.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.