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Finding the Fourth Proportional to 696.82, 959.42 and 591.69

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Solution

The fourth proportional to 696.82, 959.42 and 591.69 is: 814.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.82 : 959.42 = 591.69 : x
  2. Step 2: Convert to fraction form
    696.82/959.42 = 591.69/x
  3. Step 3: Cross multiply
    696.82x = 959.42 × 591.69
  4. Step 4: Simplify right side
    696.82x = 567,679.22
  5. Step 5: Solve for x
    x = 567,679.22/696.82
  6. Step 6: Final answer
    x = 814.67

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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.