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Finding the Fourth Proportional to 1,413.70, 2,118.40 and 682.40

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Solution

The fourth proportional to 1,413.70, 2,118.40 and 682.40 is: 1,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.70 : 2,118.40 = 682.40 : x
  2. Step 2: Convert to fraction form
    1,413.70/2,118.40 = 682.40/x
  3. Step 3: Cross multiply
    1,413.70x = 2,118.40 × 682.40
  4. Step 4: Simplify right side
    1,413.70x = 1,445,596.16
  5. Step 5: Solve for x
    x = 1,445,596.16/1,413.70
  6. Step 6: Final answer
    x = 1,022.56

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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.