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Finding the Fourth Proportional to 1,199.44, 1,798.98 and 505.90

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Solution

The fourth proportional to 1,199.44, 1,798.98 and 505.90 is: 758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.44 : 1,798.98 = 505.90 : x
  2. Step 2: Convert to fraction form
    1,199.44/1,798.98 = 505.90/x
  3. Step 3: Cross multiply
    1,199.44x = 1,798.98 × 505.90
  4. Step 4: Simplify right side
    1,199.44x = 910,103.98
  5. Step 5: Solve for x
    x = 910,103.98/1,199.44
  6. Step 6: Final answer
    x = 758.77

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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.