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Finding the Fourth Proportional to 706.75, 974.22 and 485.35

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Solution

The fourth proportional to 706.75, 974.22 and 485.35 is: 669.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.75 : 974.22 = 485.35 : x
  2. Step 2: Convert to fraction form
    706.75/974.22 = 485.35/x
  3. Step 3: Cross multiply
    706.75x = 974.22 × 485.35
  4. Step 4: Simplify right side
    706.75x = 472,837.68
  5. Step 5: Solve for x
    x = 472,837.68/706.75
  6. Step 6: Final answer
    x = 669.03

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