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Finding the Fourth Proportional to 1,630.95, 2,446.44 and 656.82

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Solution

The fourth proportional to 1,630.95, 2,446.44 and 656.82 is: 985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.95 : 2,446.44 = 656.82 : x
  2. Step 2: Convert to fraction form
    1,630.95/2,446.44 = 656.82/x
  3. Step 3: Cross multiply
    1,630.95x = 2,446.44 × 656.82
  4. Step 4: Simplify right side
    1,630.95x = 1,606,870.72
  5. Step 5: Solve for x
    x = 1,606,870.72/1,630.95
  6. Step 6: Final answer
    x = 985.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.