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Finding the Fourth Proportional to 882.82, 1,324.61 and 420.59

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Solution

The fourth proportional to 882.82, 1,324.61 and 420.59 is: 631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.82 : 1,324.61 = 420.59 : x
  2. Step 2: Convert to fraction form
    882.82/1,324.61 = 420.59/x
  3. Step 3: Cross multiply
    882.82x = 1,324.61 × 420.59
  4. Step 4: Simplify right side
    882.82x = 557,115.62
  5. Step 5: Solve for x
    x = 557,115.62/882.82
  6. Step 6: Final answer
    x = 631.07

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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.