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Finding the Fourth Proportional to 686.70, 947.88 and 490.41

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Solution

The fourth proportional to 686.70, 947.88 and 490.41 is: 676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.70 : 947.88 = 490.41 : x
  2. Step 2: Convert to fraction form
    686.70/947.88 = 490.41/x
  3. Step 3: Cross multiply
    686.70x = 947.88 × 490.41
  4. Step 4: Simplify right side
    686.70x = 464,849.83
  5. Step 5: Solve for x
    x = 464,849.83/686.70
  6. Step 6: Final answer
    x = 676.93

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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.