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Finding the Fourth Proportional to 852.34, 1,278.96 and 646.85

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Solution

The fourth proportional to 852.34, 1,278.96 and 646.85 is: 970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.34 : 1,278.96 = 646.85 : x
  2. Step 2: Convert to fraction form
    852.34/1,278.96 = 646.85/x
  3. Step 3: Cross multiply
    852.34x = 1,278.96 × 646.85
  4. Step 4: Simplify right side
    852.34x = 827,292.04
  5. Step 5: Solve for x
    x = 827,292.04/852.34
  6. Step 6: Final answer
    x = 970.62

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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.