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Finding the Fourth Proportional to 709.83, 978.98 and 461.03

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Solution

The fourth proportional to 709.83, 978.98 and 461.03 is: 635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.83 : 978.98 = 461.03 : x
  2. Step 2: Convert to fraction form
    709.83/978.98 = 461.03/x
  3. Step 3: Cross multiply
    709.83x = 978.98 × 461.03
  4. Step 4: Simplify right side
    709.83x = 451,331.95
  5. Step 5: Solve for x
    x = 451,331.95/709.83
  6. Step 6: Final answer
    x = 635.83

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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.