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Finding the Fourth Proportional to 820.60, 1,230.91 and 257.74

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Solution

The fourth proportional to 820.60, 1,230.91 and 257.74 is: 386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.60 : 1,230.91 = 257.74 : x
  2. Step 2: Convert to fraction form
    820.60/1,230.91 = 257.74/x
  3. Step 3: Cross multiply
    820.60x = 1,230.91 × 257.74
  4. Step 4: Simplify right side
    820.60x = 317,254.74
  5. Step 5: Solve for x
    x = 317,254.74/820.60
  6. Step 6: Final answer
    x = 386.61

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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.