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Finding the Fourth Proportional to 892.02, 1,334.04 and 795.12

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Solution

The fourth proportional to 892.02, 1,334.04 and 795.12 is: 1,189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.02 : 1,334.04 = 795.12 : x
  2. Step 2: Convert to fraction form
    892.02/1,334.04 = 795.12/x
  3. Step 3: Cross multiply
    892.02x = 1,334.04 × 795.12
  4. Step 4: Simplify right side
    892.02x = 1,060,721.88
  5. Step 5: Solve for x
    x = 1,060,721.88/892.02
  6. Step 6: Final answer
    x = 1,189.12

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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.