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Finding the Fourth Proportional to 1,324.80, 1,828.80 and 853.20

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Solution

The fourth proportional to 1,324.80, 1,828.80 and 853.20 is: 1,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.80 : 1,828.80 = 853.20 : x
  2. Step 2: Convert to fraction form
    1,324.80/1,828.80 = 853.20/x
  3. Step 3: Cross multiply
    1,324.80x = 1,828.80 × 853.20
  4. Step 4: Simplify right side
    1,324.80x = 1,560,332.16
  5. Step 5: Solve for x
    x = 1,560,332.16/1,324.80
  6. Step 6: Final answer
    x = 1,177.79

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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.