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Finding the Fourth Proportional to 852.60, 1,278.54 and 275.34

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Solution

The fourth proportional to 852.60, 1,278.54 and 275.34 is: 412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.60 : 1,278.54 = 275.34 : x
  2. Step 2: Convert to fraction form
    852.60/1,278.54 = 275.34/x
  3. Step 3: Cross multiply
    852.60x = 1,278.54 × 275.34
  4. Step 4: Simplify right side
    852.60x = 352,033.20
  5. Step 5: Solve for x
    x = 352,033.20/852.60
  6. Step 6: Final answer
    x = 412.89

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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.