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Finding the Fourth Proportional to 892.68, 1,232.61 and 594.21

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Solution

The fourth proportional to 892.68, 1,232.61 and 594.21 is: 820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.68 : 1,232.61 = 594.21 : x
  2. Step 2: Convert to fraction form
    892.68/1,232.61 = 594.21/x
  3. Step 3: Cross multiply
    892.68x = 1,232.61 × 594.21
  4. Step 4: Simplify right side
    892.68x = 732,429.19
  5. Step 5: Solve for x
    x = 732,429.19/892.68
  6. Step 6: Final answer
    x = 820.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.