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Finding the Fourth Proportional to 701.02, 1,049.37 and 413.02

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Solution

The fourth proportional to 701.02, 1,049.37 and 413.02 is: 618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.02 : 1,049.37 = 413.02 : x
  2. Step 2: Convert to fraction form
    701.02/1,049.37 = 413.02/x
  3. Step 3: Cross multiply
    701.02x = 1,049.37 × 413.02
  4. Step 4: Simplify right side
    701.02x = 433,410.80
  5. Step 5: Solve for x
    x = 433,410.80/701.02
  6. Step 6: Final answer
    x = 618.26

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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.