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Finding the Fourth Proportional to 892.07, 1,338.16 and 405.16

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Solution

The fourth proportional to 892.07, 1,338.16 and 405.16 is: 607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.07 : 1,338.16 = 405.16 : x
  2. Step 2: Convert to fraction form
    892.07/1,338.16 = 405.16/x
  3. Step 3: Cross multiply
    892.07x = 1,338.16 × 405.16
  4. Step 4: Simplify right side
    892.07x = 542,168.91
  5. Step 5: Solve for x
    x = 542,168.91/892.07
  6. Step 6: Final answer
    x = 607.76

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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.