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Finding the Fourth Proportional to 1,413.50, 2,119.64 and 633.74

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Solution

The fourth proportional to 1,413.50, 2,119.64 and 633.74 is: 950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.50 : 2,119.64 = 633.74 : x
  2. Step 2: Convert to fraction form
    1,413.50/2,119.64 = 633.74/x
  3. Step 3: Cross multiply
    1,413.50x = 2,119.64 × 633.74
  4. Step 4: Simplify right side
    1,413.50x = 1,343,286.89
  5. Step 5: Solve for x
    x = 1,343,286.89/1,413.50
  6. Step 6: Final answer
    x = 950.33

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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.