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Finding the Fourth Proportional to 853.82, 1,178.36 and 480.89

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Solution

The fourth proportional to 853.82, 1,178.36 and 480.89 is: 663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.82 : 1,178.36 = 480.89 : x
  2. Step 2: Convert to fraction form
    853.82/1,178.36 = 480.89/x
  3. Step 3: Cross multiply
    853.82x = 1,178.36 × 480.89
  4. Step 4: Simplify right side
    853.82x = 566,653.24
  5. Step 5: Solve for x
    x = 566,653.24/853.82
  6. Step 6: Final answer
    x = 663.67

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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.