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Finding the Fourth Proportional to 675.92, 930.84 and 488.96

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Solution

The fourth proportional to 675.92, 930.84 and 488.96 is: 673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.92 : 930.84 = 488.96 : x
  2. Step 2: Convert to fraction form
    675.92/930.84 = 488.96/x
  3. Step 3: Cross multiply
    675.92x = 930.84 × 488.96
  4. Step 4: Simplify right side
    675.92x = 455,143.53
  5. Step 5: Solve for x
    x = 455,143.53/675.92
  6. Step 6: Final answer
    x = 673.37

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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.