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Finding the Fourth Proportional to 697.14, 961.51 and 487.68

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Solution

The fourth proportional to 697.14, 961.51 and 487.68 is: 672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.14 : 961.51 = 487.68 : x
  2. Step 2: Convert to fraction form
    697.14/961.51 = 487.68/x
  3. Step 3: Cross multiply
    697.14x = 961.51 × 487.68
  4. Step 4: Simplify right side
    697.14x = 468,909.20
  5. Step 5: Solve for x
    x = 468,909.20/697.14
  6. Step 6: Final answer
    x = 672.62

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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.