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Finding the Fourth Proportional to 1,214.73, 1,823.31 and 824.76

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Solution

The fourth proportional to 1,214.73, 1,823.31 and 824.76 is: 1,237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.73 : 1,823.31 = 824.76 : x
  2. Step 2: Convert to fraction form
    1,214.73/1,823.31 = 824.76/x
  3. Step 3: Cross multiply
    1,214.73x = 1,823.31 × 824.76
  4. Step 4: Simplify right side
    1,214.73x = 1,503,793.16
  5. Step 5: Solve for x
    x = 1,503,793.16/1,214.73
  6. Step 6: Final answer
    x = 1,237.96

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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.