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Finding the Fourth Proportional to 1,320.26, 1,821.96 and 855.32

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Solution

The fourth proportional to 1,320.26, 1,821.96 and 855.32 is: 1,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.26 : 1,821.96 = 855.32 : x
  2. Step 2: Convert to fraction form
    1,320.26/1,821.96 = 855.32/x
  3. Step 3: Cross multiply
    1,320.26x = 1,821.96 × 855.32
  4. Step 4: Simplify right side
    1,320.26x = 1,558,358.83
  5. Step 5: Solve for x
    x = 1,558,358.83/1,320.26
  6. Step 6: Final answer
    x = 1,180.34

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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.