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Finding the Fourth Proportional to 689.76, 951.17 and 493.56

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Solution

The fourth proportional to 689.76, 951.17 and 493.56 is: 680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.76 : 951.17 = 493.56 : x
  2. Step 2: Convert to fraction form
    689.76/951.17 = 493.56/x
  3. Step 3: Cross multiply
    689.76x = 951.17 × 493.56
  4. Step 4: Simplify right side
    689.76x = 469,457.00
  5. Step 5: Solve for x
    x = 469,457.00/689.76
  6. Step 6: Final answer
    x = 680.61

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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.