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Finding the Fourth Proportional to 853.54, 1,177.61 and 480.47

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Solution

The fourth proportional to 853.54, 1,177.61 and 480.47 is: 662.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.54 : 1,177.61 = 480.47 : x
  2. Step 2: Convert to fraction form
    853.54/1,177.61 = 480.47/x
  3. Step 3: Cross multiply
    853.54x = 1,177.61 × 480.47
  4. Step 4: Simplify right side
    853.54x = 565,797.99
  5. Step 5: Solve for x
    x = 565,797.99/853.54
  6. Step 6: Final answer
    x = 662.89

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1.5x scale

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.