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Finding the Fourth Proportional to 881.28, 1,214.64 and 648

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Solution

The fourth proportional to 881.28, 1,214.64 and 648 is: 893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.28 : 1,214.64 = 648 : x
  2. Step 2: Convert to fraction form
    881.28/1,214.64 = 648/x
  3. Step 3: Cross multiply
    881.28x = 1,214.64 × 648
  4. Step 4: Simplify right side
    881.28x = 787,086.72
  5. Step 5: Solve for x
    x = 787,086.72/881.28
  6. Step 6: Final answer
    x = 893.12

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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.