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Finding the Fourth Proportional to 757.43, 1,133.97 and 466.91

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Solution

The fourth proportional to 757.43, 1,133.97 and 466.91 is: 699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.43 : 1,133.97 = 466.91 : x
  2. Step 2: Convert to fraction form
    757.43/1,133.97 = 466.91/x
  3. Step 3: Cross multiply
    757.43x = 1,133.97 × 466.91
  4. Step 4: Simplify right side
    757.43x = 529,461.93
  5. Step 5: Solve for x
    x = 529,461.93/757.43
  6. Step 6: Final answer
    x = 699.02

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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.