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Finding the Fourth Proportional to 709.62, 978.69 and 447.54

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Solution

The fourth proportional to 709.62, 978.69 and 447.54 is: 617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.62 : 978.69 = 447.54 : x
  2. Step 2: Convert to fraction form
    709.62/978.69 = 447.54/x
  3. Step 3: Cross multiply
    709.62x = 978.69 × 447.54
  4. Step 4: Simplify right side
    709.62x = 438,002.92
  5. Step 5: Solve for x
    x = 438,002.92/709.62
  6. Step 6: Final answer
    x = 617.24

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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.