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Finding the Fourth Proportional to 1,329.19, 1,993.83 and 549.26

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Solution

The fourth proportional to 1,329.19, 1,993.83 and 549.26 is: 823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.19 : 1,993.83 = 549.26 : x
  2. Step 2: Convert to fraction form
    1,329.19/1,993.83 = 549.26/x
  3. Step 3: Cross multiply
    1,329.19x = 1,993.83 × 549.26
  4. Step 4: Simplify right side
    1,329.19x = 1,095,131.07
  5. Step 5: Solve for x
    x = 1,095,131.07/1,329.19
  6. Step 6: Final answer
    x = 823.91

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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.