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Finding the Fourth Proportional to 968.93, 1,452.84 and 310.68

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Solution

The fourth proportional to 968.93, 1,452.84 and 310.68 is: 465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.93 : 1,452.84 = 310.68 : x
  2. Step 2: Convert to fraction form
    968.93/1,452.84 = 310.68/x
  3. Step 3: Cross multiply
    968.93x = 1,452.84 × 310.68
  4. Step 4: Simplify right side
    968.93x = 451,368.33
  5. Step 5: Solve for x
    x = 451,368.33/968.93
  6. Step 6: Final answer
    x = 465.84

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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.