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Finding the Fourth Proportional to 704.75, 971.96 and 538.65

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Solution

The fourth proportional to 704.75, 971.96 and 538.65 is: 742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.75 : 971.96 = 538.65 : x
  2. Step 2: Convert to fraction form
    704.75/971.96 = 538.65/x
  3. Step 3: Cross multiply
    704.75x = 971.96 × 538.65
  4. Step 4: Simplify right side
    704.75x = 523,543.56
  5. Step 5: Solve for x
    x = 523,543.56/704.75
  6. Step 6: Final answer
    x = 742.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.