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Finding the Fourth Proportional to 1,199.72, 1,798.74 and 505.83

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Solution

The fourth proportional to 1,199.72, 1,798.74 and 505.83 is: 758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.72 : 1,798.74 = 505.83 : x
  2. Step 2: Convert to fraction form
    1,199.72/1,798.74 = 505.83/x
  3. Step 3: Cross multiply
    1,199.72x = 1,798.74 × 505.83
  4. Step 4: Simplify right side
    1,199.72x = 909,856.65
  5. Step 5: Solve for x
    x = 909,856.65/1,199.72
  6. Step 6: Final answer
    x = 758.39

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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.