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Finding the Fourth Proportional to 882.21, 1,215.68 and 659.55

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Solution

The fourth proportional to 882.21, 1,215.68 and 659.55 is: 908.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.21 : 1,215.68 = 659.55 : x
  2. Step 2: Convert to fraction form
    882.21/1,215.68 = 659.55/x
  3. Step 3: Cross multiply
    882.21x = 1,215.68 × 659.55
  4. Step 4: Simplify right side
    882.21x = 801,798.45
  5. Step 5: Solve for x
    x = 801,798.45/882.21
  6. Step 6: Final answer
    x = 908.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.