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Finding the Fourth Proportional to 1,413.48, 2,120.64 and 682.65

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Solution

The fourth proportional to 1,413.48, 2,120.64 and 682.65 is: 1,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.48 : 2,120.64 = 682.65 : x
  2. Step 2: Convert to fraction form
    1,413.48/2,120.64 = 682.65/x
  3. Step 3: Cross multiply
    1,413.48x = 2,120.64 × 682.65
  4. Step 4: Simplify right side
    1,413.48x = 1,447,654.90
  5. Step 5: Solve for x
    x = 1,447,654.90/1,413.48
  6. Step 6: Final answer
    x = 1,024.18

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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.