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Finding the Fourth Proportional to 853.42, 1,177.70 and 480.40

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Solution

The fourth proportional to 853.42, 1,177.70 and 480.40 is: 662.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.42 : 1,177.70 = 480.40 : x
  2. Step 2: Convert to fraction form
    853.42/1,177.70 = 480.40/x
  3. Step 3: Cross multiply
    853.42x = 1,177.70 × 480.40
  4. Step 4: Simplify right side
    853.42x = 565,767.08
  5. Step 5: Solve for x
    x = 565,767.08/853.42
  6. Step 6: Final answer
    x = 662.94

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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.