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Finding the Fourth Proportional to 1,175.39, 1,763.39 and 444.97

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Solution

The fourth proportional to 1,175.39, 1,763.39 and 444.97 is: 667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.39 : 1,763.39 = 444.97 : x
  2. Step 2: Convert to fraction form
    1,175.39/1,763.39 = 444.97/x
  3. Step 3: Cross multiply
    1,175.39x = 1,763.39 × 444.97
  4. Step 4: Simplify right side
    1,175.39x = 784,655.65
  5. Step 5: Solve for x
    x = 784,655.65/1,175.39
  6. Step 6: Final answer
    x = 667.57

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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.