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Finding the Fourth Proportional to 848.31, 1,274.25 and 820.62

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Solution

The fourth proportional to 848.31, 1,274.25 and 820.62 is: 1,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.31 : 1,274.25 = 820.62 : x
  2. Step 2: Convert to fraction form
    848.31/1,274.25 = 820.62/x
  3. Step 3: Cross multiply
    848.31x = 1,274.25 × 820.62
  4. Step 4: Simplify right side
    848.31x = 1,045,675.04
  5. Step 5: Solve for x
    x = 1,045,675.04/848.31
  6. Step 6: Final answer
    x = 1,232.66

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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.