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Finding the Fourth Proportional to 710.53, 984.32 and 693.52

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Solution

The fourth proportional to 710.53, 984.32 and 693.52 is: 960.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.53 : 984.32 = 693.52 : x
  2. Step 2: Convert to fraction form
    710.53/984.32 = 693.52/x
  3. Step 3: Cross multiply
    710.53x = 984.32 × 693.52
  4. Step 4: Simplify right side
    710.53x = 682,644.88
  5. Step 5: Solve for x
    x = 682,644.88/710.53
  6. Step 6: Final answer
    x = 960.76

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.