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Finding the Fourth Proportional to 1,413.51, 2,119.37 and 488.99

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Solution

The fourth proportional to 1,413.51, 2,119.37 and 488.99 is: 733.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.51 : 2,119.37 = 488.99 : x
  2. Step 2: Convert to fraction form
    1,413.51/2,119.37 = 488.99/x
  3. Step 3: Cross multiply
    1,413.51x = 2,119.37 × 488.99
  4. Step 4: Simplify right side
    1,413.51x = 1,036,337.69
  5. Step 5: Solve for x
    x = 1,036,337.69/1,413.51
  6. Step 6: Final answer
    x = 733.17

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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.