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Finding the Fourth Proportional to 1,337.81, 2,006.90 and 413.44

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Solution

The fourth proportional to 1,337.81, 2,006.90 and 413.44 is: 620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.81 : 2,006.90 = 413.44 : x
  2. Step 2: Convert to fraction form
    1,337.81/2,006.90 = 413.44/x
  3. Step 3: Cross multiply
    1,337.81x = 2,006.90 × 413.44
  4. Step 4: Simplify right side
    1,337.81x = 829,728.75
  5. Step 5: Solve for x
    x = 829,728.75/1,337.81
  6. Step 6: Final answer
    x = 620.22

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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.