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Finding the Fourth Proportional to 716.37, 982.15 and 703.41

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Solution

The fourth proportional to 716.37, 982.15 and 703.41 is: 964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.37 : 982.15 = 703.41 : x
  2. Step 2: Convert to fraction form
    716.37/982.15 = 703.41/x
  3. Step 3: Cross multiply
    716.37x = 982.15 × 703.41
  4. Step 4: Simplify right side
    716.37x = 690,855.89
  5. Step 5: Solve for x
    x = 690,855.89/716.37
  6. Step 6: Final answer
    x = 964.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.