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Finding the Fourth Proportional to 883.77, 1,327.68 and 730.29

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Solution

The fourth proportional to 883.77, 1,327.68 and 730.29 is: 1,097.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.77 : 1,327.68 = 730.29 : x
  2. Step 2: Convert to fraction form
    883.77/1,327.68 = 730.29/x
  3. Step 3: Cross multiply
    883.77x = 1,327.68 × 730.29
  4. Step 4: Simplify right side
    883.77x = 969,591.43
  5. Step 5: Solve for x
    x = 969,591.43/883.77
  6. Step 6: Final answer
    x = 1,097.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.