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Finding the Fourth Proportional to 1,413.62, 2,119.63 and 580.45

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Solution

The fourth proportional to 1,413.62, 2,119.63 and 580.45 is: 870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.62 : 2,119.63 = 580.45 : x
  2. Step 2: Convert to fraction form
    1,413.62/2,119.63 = 580.45/x
  3. Step 3: Cross multiply
    1,413.62x = 2,119.63 × 580.45
  4. Step 4: Simplify right side
    1,413.62x = 1,230,339.23
  5. Step 5: Solve for x
    x = 1,230,339.23/1,413.62
  6. Step 6: Final answer
    x = 870.35

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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.