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Finding the Fourth Proportional to 614.13, 923.04 and 541.23

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Solution

The fourth proportional to 614.13, 923.04 and 541.23 is: 813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.13 : 923.04 = 541.23 : x
  2. Step 2: Convert to fraction form
    614.13/923.04 = 541.23/x
  3. Step 3: Cross multiply
    614.13x = 923.04 × 541.23
  4. Step 4: Simplify right side
    614.13x = 499,576.94
  5. Step 5: Solve for x
    x = 499,576.94/614.13
  6. Step 6: Final answer
    x = 813.47

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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.