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Finding the Fourth Proportional to 671.38, 1,005.15 and 413.14

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Solution

The fourth proportional to 671.38, 1,005.15 and 413.14 is: 618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.38 : 1,005.15 = 413.14 : x
  2. Step 2: Convert to fraction form
    671.38/1,005.15 = 413.14/x
  3. Step 3: Cross multiply
    671.38x = 1,005.15 × 413.14
  4. Step 4: Simplify right side
    671.38x = 415,267.67
  5. Step 5: Solve for x
    x = 415,267.67/671.38
  6. Step 6: Final answer
    x = 618.53

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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.