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Finding the Fourth Proportional to 853.50, 1,177.90 and 480.54

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Solution

The fourth proportional to 853.50, 1,177.90 and 480.54 is: 663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.50 : 1,177.90 = 480.54 : x
  2. Step 2: Convert to fraction form
    853.50/1,177.90 = 480.54/x
  3. Step 3: Cross multiply
    853.50x = 1,177.90 × 480.54
  4. Step 4: Simplify right side
    853.50x = 566,028.07
  5. Step 5: Solve for x
    x = 566,028.07/853.50
  6. Step 6: Final answer
    x = 663.18

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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.