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Finding the Fourth Proportional to 1,298.10, 1,947.95 and 682.24

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Solution

The fourth proportional to 1,298.10, 1,947.95 and 682.24 is: 1,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.10 : 1,947.95 = 682.24 : x
  2. Step 2: Convert to fraction form
    1,298.10/1,947.95 = 682.24/x
  3. Step 3: Cross multiply
    1,298.10x = 1,947.95 × 682.24
  4. Step 4: Simplify right side
    1,298.10x = 1,328,969.41
  5. Step 5: Solve for x
    x = 1,328,969.41/1,298.10
  6. Step 6: Final answer
    x = 1,023.78

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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.