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Finding the Fourth Proportional to 882.29, 1,217.44 and 504.12

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Solution

The fourth proportional to 882.29, 1,217.44 and 504.12 is: 695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.29 : 1,217.44 = 504.12 : x
  2. Step 2: Convert to fraction form
    882.29/1,217.44 = 504.12/x
  3. Step 3: Cross multiply
    882.29x = 1,217.44 × 504.12
  4. Step 4: Simplify right side
    882.29x = 613,741.05
  5. Step 5: Solve for x
    x = 613,741.05/882.29
  6. Step 6: Final answer
    x = 695.62

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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.