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Finding the Fourth Proportional to 704.35, 971.62 and 494.85

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Solution

The fourth proportional to 704.35, 971.62 and 494.85 is: 682.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.35 : 971.62 = 494.85 : x
  2. Step 2: Convert to fraction form
    704.35/971.62 = 494.85/x
  3. Step 3: Cross multiply
    704.35x = 971.62 × 494.85
  4. Step 4: Simplify right side
    704.35x = 480,806.16
  5. Step 5: Solve for x
    x = 480,806.16/704.35
  6. Step 6: Final answer
    x = 682.62

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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.