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Finding the Fourth Proportional to 673.44, 1,010.84 and 413.74

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Solution

The fourth proportional to 673.44, 1,010.84 and 413.74 is: 621.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.44 : 1,010.84 = 413.74 : x
  2. Step 2: Convert to fraction form
    673.44/1,010.84 = 413.74/x
  3. Step 3: Cross multiply
    673.44x = 1,010.84 × 413.74
  4. Step 4: Simplify right side
    673.44x = 418,224.94
  5. Step 5: Solve for x
    x = 418,224.94/673.44
  6. Step 6: Final answer
    x = 621.03

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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.