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Finding the Fourth Proportional to 881.22, 1,214.82 and 776.82

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Solution

The fourth proportional to 881.22, 1,214.82 and 776.82 is: 1,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.22 : 1,214.82 = 776.82 : x
  2. Step 2: Convert to fraction form
    881.22/1,214.82 = 776.82/x
  3. Step 3: Cross multiply
    881.22x = 1,214.82 × 776.82
  4. Step 4: Simplify right side
    881.22x = 943,696.47
  5. Step 5: Solve for x
    x = 943,696.47/881.22
  6. Step 6: Final answer
    x = 1,070.90

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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.