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Finding the Fourth Proportional to 882.43, 1,217.74 and 484.09

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Solution

The fourth proportional to 882.43, 1,217.74 and 484.09 is: 668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.43 : 1,217.74 = 484.09 : x
  2. Step 2: Convert to fraction form
    882.43/1,217.74 = 484.09/x
  3. Step 3: Cross multiply
    882.43x = 1,217.74 × 484.09
  4. Step 4: Simplify right side
    882.43x = 589,495.76
  5. Step 5: Solve for x
    x = 589,495.76/882.43
  6. Step 6: Final answer
    x = 668.04

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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.