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Finding the Fourth Proportional to 853.14, 1,177.25 and 480.07

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Solution

The fourth proportional to 853.14, 1,177.25 and 480.07 is: 662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.14 : 1,177.25 = 480.07 : x
  2. Step 2: Convert to fraction form
    853.14/1,177.25 = 480.07/x
  3. Step 3: Cross multiply
    853.14x = 1,177.25 × 480.07
  4. Step 4: Simplify right side
    853.14x = 565,162.41
  5. Step 5: Solve for x
    x = 565,162.41/853.14
  6. Step 6: Final answer
    x = 662.45

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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.