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Finding the Fourth Proportional to 882.08, 1,216.82 and 586.96

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Solution

The fourth proportional to 882.08, 1,216.82 and 586.96 is: 809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.08 : 1,216.82 = 586.96 : x
  2. Step 2: Convert to fraction form
    882.08/1,216.82 = 586.96/x
  3. Step 3: Cross multiply
    882.08x = 1,216.82 × 586.96
  4. Step 4: Simplify right side
    882.08x = 714,224.67
  5. Step 5: Solve for x
    x = 714,224.67/882.08
  6. Step 6: Final answer
    x = 809.71

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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.