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Finding the Fourth Proportional to 1,413.45, 2,119.56 and 488.76

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Solution

The fourth proportional to 1,413.45, 2,119.56 and 488.76 is: 732.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.45 : 2,119.56 = 488.76 : x
  2. Step 2: Convert to fraction form
    1,413.45/2,119.56 = 488.76/x
  3. Step 3: Cross multiply
    1,413.45x = 2,119.56 × 488.76
  4. Step 4: Simplify right side
    1,413.45x = 1,035,956.15
  5. Step 5: Solve for x
    x = 1,035,956.15/1,413.45
  6. Step 6: Final answer
    x = 732.93

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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.