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Finding the Fourth Proportional to 882.33, 1,217.63 and 484.01

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Solution

The fourth proportional to 882.33, 1,217.63 and 484.01 is: 667.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.33 : 1,217.63 = 484.01 : x
  2. Step 2: Convert to fraction form
    882.33/1,217.63 = 484.01/x
  3. Step 3: Cross multiply
    882.33x = 1,217.63 × 484.01
  4. Step 4: Simplify right side
    882.33x = 589,344.78
  5. Step 5: Solve for x
    x = 589,344.78/882.33
  6. Step 6: Final answer
    x = 667.94

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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.