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Finding the Fourth Proportional to 892.83, 1,339.53 and 645.57

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Solution

The fourth proportional to 892.83, 1,339.53 and 645.57 is: 968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.83 : 1,339.53 = 645.57 : x
  2. Step 2: Convert to fraction form
    892.83/1,339.53 = 645.57/x
  3. Step 3: Cross multiply
    892.83x = 1,339.53 × 645.57
  4. Step 4: Simplify right side
    892.83x = 864,760.38
  5. Step 5: Solve for x
    x = 864,760.38/892.83
  6. Step 6: Final answer
    x = 968.56

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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.