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Finding the Fourth Proportional to 705.78, 974.30 and 610.88

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Solution

The fourth proportional to 705.78, 974.30 and 610.88 is: 843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.78 : 974.30 = 610.88 : x
  2. Step 2: Convert to fraction form
    705.78/974.30 = 610.88/x
  3. Step 3: Cross multiply
    705.78x = 974.30 × 610.88
  4. Step 4: Simplify right side
    705.78x = 595,172.46
  5. Step 5: Solve for x
    x = 595,172.46/705.78
  6. Step 6: Final answer
    x = 843.28

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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.