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Finding the Fourth Proportional to 818.58, 1,227.70 and 682.50

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Solution

The fourth proportional to 818.58, 1,227.70 and 682.50 is: 1,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.58 : 1,227.70 = 682.50 : x
  2. Step 2: Convert to fraction form
    818.58/1,227.70 = 682.50/x
  3. Step 3: Cross multiply
    818.58x = 1,227.70 × 682.50
  4. Step 4: Simplify right side
    818.58x = 837,905.25
  5. Step 5: Solve for x
    x = 837,905.25/818.58
  6. Step 6: Final answer
    x = 1,023.61

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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.