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Finding the Fourth Proportional to 892.80, 1,346.40 and 849.60

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Solution

The fourth proportional to 892.80, 1,346.40 and 849.60 is: 1,281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.80 : 1,346.40 = 849.60 : x
  2. Step 2: Convert to fraction form
    892.80/1,346.40 = 849.60/x
  3. Step 3: Cross multiply
    892.80x = 1,346.40 × 849.60
  4. Step 4: Simplify right side
    892.80x = 1,143,901.44
  5. Step 5: Solve for x
    x = 1,143,901.44/892.80
  6. Step 6: Final answer
    x = 1,281.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.