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Finding the Fourth Proportional to 1,176.23, 1,619.49 and 998.81

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Solution

The fourth proportional to 1,176.23, 1,619.49 and 998.81 is: 1,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.23 : 1,619.49 = 998.81 : x
  2. Step 2: Convert to fraction form
    1,176.23/1,619.49 = 998.81/x
  3. Step 3: Cross multiply
    1,176.23x = 1,619.49 × 998.81
  4. Step 4: Simplify right side
    1,176.23x = 1,617,554.71
  5. Step 5: Solve for x
    x = 1,617,554.71/1,176.23
  6. Step 6: Final answer
    x = 1,375.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.