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Finding the Fourth Proportional to 1,413.76, 2,119.84 and 580.59

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Solution

The fourth proportional to 1,413.76, 2,119.84 and 580.59 is: 870.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.76 : 2,119.84 = 580.59 : x
  2. Step 2: Convert to fraction form
    1,413.76/2,119.84 = 580.59/x
  3. Step 3: Cross multiply
    1,413.76x = 2,119.84 × 580.59
  4. Step 4: Simplify right side
    1,413.76x = 1,230,744.40
  5. Step 5: Solve for x
    x = 1,230,744.40/1,413.76
  6. Step 6: Final answer
    x = 870.55

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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.