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Finding the Fourth Proportional to 1,330.26, 1,995.33 and 550.04

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Solution

The fourth proportional to 1,330.26, 1,995.33 and 550.04 is: 825.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.26 : 1,995.33 = 550.04 : x
  2. Step 2: Convert to fraction form
    1,330.26/1,995.33 = 550.04/x
  3. Step 3: Cross multiply
    1,330.26x = 1,995.33 × 550.04
  4. Step 4: Simplify right side
    1,330.26x = 1,097,498.59
  5. Step 5: Solve for x
    x = 1,097,498.59/1,330.26
  6. Step 6: Final answer
    x = 825.03

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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.