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Finding the Fourth Proportional to 1,413.29, 2,119.57 and 438.89

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Solution

The fourth proportional to 1,413.29, 2,119.57 and 438.89 is: 658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.29 : 2,119.57 = 438.89 : x
  2. Step 2: Convert to fraction form
    1,413.29/2,119.57 = 438.89/x
  3. Step 3: Cross multiply
    1,413.29x = 2,119.57 × 438.89
  4. Step 4: Simplify right side
    1,413.29x = 930,246.38
  5. Step 5: Solve for x
    x = 930,246.38/1,413.29
  6. Step 6: Final answer
    x = 658.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.