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Finding the Fourth Proportional to 968.79, 1,453.14 and 310.65

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Solution

The fourth proportional to 968.79, 1,453.14 and 310.65 is: 465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.79 : 1,453.14 = 310.65 : x
  2. Step 2: Convert to fraction form
    968.79/1,453.14 = 310.65/x
  3. Step 3: Cross multiply
    968.79x = 1,453.14 × 310.65
  4. Step 4: Simplify right side
    968.79x = 451,413.66
  5. Step 5: Solve for x
    x = 451,413.66/968.79
  6. Step 6: Final answer
    x = 465.96

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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.