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Finding the Fourth Proportional to 1,413.07, 2,119.82 and 488.39

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Solution

The fourth proportional to 1,413.07, 2,119.82 and 488.39 is: 732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.07 : 2,119.82 = 488.39 : x
  2. Step 2: Convert to fraction form
    1,413.07/2,119.82 = 488.39/x
  3. Step 3: Cross multiply
    1,413.07x = 2,119.82 × 488.39
  4. Step 4: Simplify right side
    1,413.07x = 1,035,285.85
  5. Step 5: Solve for x
    x = 1,035,285.85/1,413.07
  6. Step 6: Final answer
    x = 732.65

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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.