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Finding the Fourth Proportional to 853.04, 1,177.24 and 480.12

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Solution

The fourth proportional to 853.04, 1,177.24 and 480.12 is: 662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.04 : 1,177.24 = 480.12 : x
  2. Step 2: Convert to fraction form
    853.04/1,177.24 = 480.12/x
  3. Step 3: Cross multiply
    853.04x = 1,177.24 × 480.12
  4. Step 4: Simplify right side
    853.04x = 565,216.47
  5. Step 5: Solve for x
    x = 565,216.47/853.04
  6. Step 6: Final answer
    x = 662.59

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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.