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Finding the Fourth Proportional to 713.24, 982.16 and 697.08

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Solution

The fourth proportional to 713.24, 982.16 and 697.08 is: 959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.24 : 982.16 = 697.08 : x
  2. Step 2: Convert to fraction form
    713.24/982.16 = 697.08/x
  3. Step 3: Cross multiply
    713.24x = 982.16 × 697.08
  4. Step 4: Simplify right side
    713.24x = 684,644.09
  5. Step 5: Solve for x
    x = 684,644.09/713.24
  6. Step 6: Final answer
    x = 959.91

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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.