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Finding the Fourth Proportional to 968.09, 1,449.02 and 505.21

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Solution

The fourth proportional to 968.09, 1,449.02 and 505.21 is: 756.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.09 : 1,449.02 = 505.21 : x
  2. Step 2: Convert to fraction form
    968.09/1,449.02 = 505.21/x
  3. Step 3: Cross multiply
    968.09x = 1,449.02 × 505.21
  4. Step 4: Simplify right side
    968.09x = 732,059.39
  5. Step 5: Solve for x
    x = 732,059.39/968.09
  6. Step 6: Final answer
    x = 756.19

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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.