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Finding the Fourth Proportional to 1,198.96, 1,798.04 and 505.30

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Solution

The fourth proportional to 1,198.96, 1,798.04 and 505.30 is: 757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.96 : 1,798.04 = 505.30 : x
  2. Step 2: Convert to fraction form
    1,198.96/1,798.04 = 505.30/x
  3. Step 3: Cross multiply
    1,198.96x = 1,798.04 × 505.30
  4. Step 4: Simplify right side
    1,198.96x = 908,549.61
  5. Step 5: Solve for x
    x = 908,549.61/1,198.96
  6. Step 6: Final answer
    x = 757.78

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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.