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Finding the Fourth Proportional to 1,299.12, 1,949.04 and 682.98

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Solution

The fourth proportional to 1,299.12, 1,949.04 and 682.98 is: 1,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.12 : 1,949.04 = 682.98 : x
  2. Step 2: Convert to fraction form
    1,299.12/1,949.04 = 682.98/x
  3. Step 3: Cross multiply
    1,299.12x = 1,949.04 × 682.98
  4. Step 4: Simplify right side
    1,299.12x = 1,331,155.34
  5. Step 5: Solve for x
    x = 1,331,155.34/1,299.12
  6. Step 6: Final answer
    x = 1,024.66

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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.