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Finding the Fourth Proportional to 1,413.30, 2,119.55 and 488.82

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Solution

The fourth proportional to 1,413.30, 2,119.55 and 488.82 is: 733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.30 : 2,119.55 = 488.82 : x
  2. Step 2: Convert to fraction form
    1,413.30/2,119.55 = 488.82/x
  3. Step 3: Cross multiply
    1,413.30x = 2,119.55 × 488.82
  4. Step 4: Simplify right side
    1,413.30x = 1,036,075.99
  5. Step 5: Solve for x
    x = 1,036,075.99/1,413.30
  6. Step 6: Final answer
    x = 733.09

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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.