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Finding the Fourth Proportional to 3,305.50, 4,959.06 and 997

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Solution

The fourth proportional to 3,305.50, 4,959.06 and 997 is: 1,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.50 : 4,959.06 = 997 : x
  2. Step 2: Convert to fraction form
    3,305.50/4,959.06 = 997/x
  3. Step 3: Cross multiply
    3,305.50x = 4,959.06 × 997
  4. Step 4: Simplify right side
    3,305.50x = 4,944,182.82
  5. Step 5: Solve for x
    x = 4,944,182.82/3,305.50
  6. Step 6: Final answer
    x = 1,495.74

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Why These Related Problems?

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