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Finding the Fourth Proportional to 1,199.36, 1,799.36 and 505.66

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Solution

The fourth proportional to 1,199.36, 1,799.36 and 505.66 is: 758.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.36 : 1,799.36 = 505.66 : x
  2. Step 2: Convert to fraction form
    1,199.36/1,799.36 = 505.66/x
  3. Step 3: Cross multiply
    1,199.36x = 1,799.36 × 505.66
  4. Step 4: Simplify right side
    1,199.36x = 909,864.38
  5. Step 5: Solve for x
    x = 909,864.38/1,199.36
  6. Step 6: Final answer
    x = 758.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.