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Finding the Fourth Proportional to 881.10, 1,214.92 and 659.34

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Solution

The fourth proportional to 881.10, 1,214.92 and 659.34 is: 909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.10 : 1,214.92 = 659.34 : x
  2. Step 2: Convert to fraction form
    881.10/1,214.92 = 659.34/x
  3. Step 3: Cross multiply
    881.10x = 1,214.92 × 659.34
  4. Step 4: Simplify right side
    881.10x = 801,045.35
  5. Step 5: Solve for x
    x = 801,045.35/881.10
  6. Step 6: Final answer
    x = 909.14

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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.