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Finding the Fourth Proportional to 673.83, 1,008.43 and 413.66

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Solution

The fourth proportional to 673.83, 1,008.43 and 413.66 is: 619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.83 : 1,008.43 = 413.66 : x
  2. Step 2: Convert to fraction form
    673.83/1,008.43 = 413.66/x
  3. Step 3: Cross multiply
    673.83x = 1,008.43 × 413.66
  4. Step 4: Simplify right side
    673.83x = 417,147.15
  5. Step 5: Solve for x
    x = 417,147.15/673.83
  6. Step 6: Final answer
    x = 619.07

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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.