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Finding the Fourth Proportional to 892.83, 1,335.09 and 795.90

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Solution

The fourth proportional to 892.83, 1,335.09 and 795.90 is: 1,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.83 : 1,335.09 = 795.90 : x
  2. Step 2: Convert to fraction form
    892.83/1,335.09 = 795.90/x
  3. Step 3: Cross multiply
    892.83x = 1,335.09 × 795.90
  4. Step 4: Simplify right side
    892.83x = 1,062,598.13
  5. Step 5: Solve for x
    x = 1,062,598.13/892.83
  6. Step 6: Final answer
    x = 1,190.15

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