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Finding the Fourth Proportional to 882.38, 1,216.77 and 617.06

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Solution

The fourth proportional to 882.38, 1,216.77 and 617.06 is: 850.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.38 : 1,216.77 = 617.06 : x
  2. Step 2: Convert to fraction form
    882.38/1,216.77 = 617.06/x
  3. Step 3: Cross multiply
    882.38x = 1,216.77 × 617.06
  4. Step 4: Simplify right side
    882.38x = 750,820.10
  5. Step 5: Solve for x
    x = 750,820.10/882.38
  6. Step 6: Final answer
    x = 850.90

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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.