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Finding the Fourth Proportional to 852.88, 1,279.68 and 420.52

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Solution

The fourth proportional to 852.88, 1,279.68 and 420.52 is: 630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.88 : 1,279.68 = 420.52 : x
  2. Step 2: Convert to fraction form
    852.88/1,279.68 = 420.52/x
  3. Step 3: Cross multiply
    852.88x = 1,279.68 × 420.52
  4. Step 4: Simplify right side
    852.88x = 538,131.03
  5. Step 5: Solve for x
    x = 538,131.03/852.88
  6. Step 6: Final answer
    x = 630.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.