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Finding the Fourth Proportional to 968.81, 1,453.09 and 352.49

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Solution

The fourth proportional to 968.81, 1,453.09 and 352.49 is: 528.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.81 : 1,453.09 = 352.49 : x
  2. Step 2: Convert to fraction form
    968.81/1,453.09 = 352.49/x
  3. Step 3: Cross multiply
    968.81x = 1,453.09 × 352.49
  4. Step 4: Simplify right side
    968.81x = 512,199.69
  5. Step 5: Solve for x
    x = 512,199.69/968.81
  6. Step 6: Final answer
    x = 528.69

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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.