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Finding the Fourth Proportional to 968.99, 1,453.59 and 319.73

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Solution

The fourth proportional to 968.99, 1,453.59 and 319.73 is: 479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.99 : 1,453.59 = 319.73 : x
  2. Step 2: Convert to fraction form
    968.99/1,453.59 = 319.73/x
  3. Step 3: Cross multiply
    968.99x = 1,453.59 × 319.73
  4. Step 4: Simplify right side
    968.99x = 464,749.06
  5. Step 5: Solve for x
    x = 464,749.06/968.99
  6. Step 6: Final answer
    x = 479.62

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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.