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Finding the Fourth Proportional to 892.64, 1,341.36 and 605.84

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Solution

The fourth proportional to 892.64, 1,341.36 and 605.84 is: 910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.64 : 1,341.36 = 605.84 : x
  2. Step 2: Convert to fraction form
    892.64/1,341.36 = 605.84/x
  3. Step 3: Cross multiply
    892.64x = 1,341.36 × 605.84
  4. Step 4: Simplify right side
    892.64x = 812,649.54
  5. Step 5: Solve for x
    x = 812,649.54/892.64
  6. Step 6: Final answer
    x = 910.39

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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.