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Finding the Fourth Proportional to 1,214.86, 1,823.08 and 667.42

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Solution

The fourth proportional to 1,214.86, 1,823.08 and 667.42 is: 1,001.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.86 : 1,823.08 = 667.42 : x
  2. Step 2: Convert to fraction form
    1,214.86/1,823.08 = 667.42/x
  3. Step 3: Cross multiply
    1,214.86x = 1,823.08 × 667.42
  4. Step 4: Simplify right side
    1,214.86x = 1,216,760.05
  5. Step 5: Solve for x
    x = 1,216,760.05/1,214.86
  6. Step 6: Final answer
    x = 1,001.56

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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.