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Finding the Fourth Proportional to 1,320.80, 1,821.48 and 823.26

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Solution

The fourth proportional to 1,320.80, 1,821.48 and 823.26 is: 1,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.80 : 1,821.48 = 823.26 : x
  2. Step 2: Convert to fraction form
    1,320.80/1,821.48 = 823.26/x
  3. Step 3: Cross multiply
    1,320.80x = 1,821.48 × 823.26
  4. Step 4: Simplify right side
    1,320.80x = 1,499,551.62
  5. Step 5: Solve for x
    x = 1,499,551.62/1,320.80
  6. Step 6: Final answer
    x = 1,135.34

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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.