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Finding the Fourth Proportional to 697.28, 960.98 and 486.76

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Solution

The fourth proportional to 697.28, 960.98 and 486.76 is: 670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.28 : 960.98 = 486.76 : x
  2. Step 2: Convert to fraction form
    697.28/960.98 = 486.76/x
  3. Step 3: Cross multiply
    697.28x = 960.98 × 486.76
  4. Step 4: Simplify right side
    697.28x = 467,766.62
  5. Step 5: Solve for x
    x = 467,766.62/697.28
  6. Step 6: Final answer
    x = 670.84

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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.