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Finding the Fourth Proportional to 892.69, 1,340.55 and 846.52

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Solution

The fourth proportional to 892.69, 1,340.55 and 846.52 is: 1,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.69 : 1,340.55 = 846.52 : x
  2. Step 2: Convert to fraction form
    892.69/1,340.55 = 846.52/x
  3. Step 3: Cross multiply
    892.69x = 1,340.55 × 846.52
  4. Step 4: Simplify right side
    892.69x = 1,134,799.03
  5. Step 5: Solve for x
    x = 1,134,799.03/892.69
  6. Step 6: Final answer
    x = 1,271.22

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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.