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Finding the Fourth Proportional to 853.41, 1,177.74 and 480.37

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Solution

The fourth proportional to 853.41, 1,177.74 and 480.37 is: 662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.41 : 1,177.74 = 480.37 : x
  2. Step 2: Convert to fraction form
    853.41/1,177.74 = 480.37/x
  3. Step 3: Cross multiply
    853.41x = 1,177.74 × 480.37
  4. Step 4: Simplify right side
    853.41x = 565,750.96
  5. Step 5: Solve for x
    x = 565,750.96/853.41
  6. Step 6: Final answer
    x = 662.93

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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.