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Finding the Fourth Proportional to 968.69, 1,453.16 and 319.85

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Solution

The fourth proportional to 968.69, 1,453.16 and 319.85 is: 479.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.69 : 1,453.16 = 319.85 : x
  2. Step 2: Convert to fraction form
    968.69/1,453.16 = 319.85/x
  3. Step 3: Cross multiply
    968.69x = 1,453.16 × 319.85
  4. Step 4: Simplify right side
    968.69x = 464,791.63
  5. Step 5: Solve for x
    x = 464,791.63/968.69
  6. Step 6: Final answer
    x = 479.81

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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.