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Finding the Fourth Proportional to 1,413.07, 2,119.83 and 438.97

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Solution

The fourth proportional to 1,413.07, 2,119.83 and 438.97 is: 658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.07 : 2,119.83 = 438.97 : x
  2. Step 2: Convert to fraction form
    1,413.07/2,119.83 = 438.97/x
  3. Step 3: Cross multiply
    1,413.07x = 2,119.83 × 438.97
  4. Step 4: Simplify right side
    1,413.07x = 930,541.78
  5. Step 5: Solve for x
    x = 930,541.78/1,413.07
  6. Step 6: Final answer
    x = 658.52

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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.