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Finding the Fourth Proportional to 1,413.93, 2,119.65 and 488.85

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Solution

The fourth proportional to 1,413.93, 2,119.65 and 488.85 is: 732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.93 : 2,119.65 = 488.85 : x
  2. Step 2: Convert to fraction form
    1,413.93/2,119.65 = 488.85/x
  3. Step 3: Cross multiply
    1,413.93x = 2,119.65 × 488.85
  4. Step 4: Simplify right side
    1,413.93x = 1,036,190.90
  5. Step 5: Solve for x
    x = 1,036,190.90/1,413.93
  6. Step 6: Final answer
    x = 732.84

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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.