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Finding the Fourth Proportional to 706.89, 974.93 and 703.25

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Solution

The fourth proportional to 706.89, 974.93 and 703.25 is: 969.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.89 : 974.93 = 703.25 : x
  2. Step 2: Convert to fraction form
    706.89/974.93 = 703.25/x
  3. Step 3: Cross multiply
    706.89x = 974.93 × 703.25
  4. Step 4: Simplify right side
    706.89x = 685,611.13
  5. Step 5: Solve for x
    x = 685,611.13/706.89
  6. Step 6: Final answer
    x = 969.90

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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.