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Finding the Fourth Proportional to 934.14, 1,402.51 and 523.54

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Solution

The fourth proportional to 934.14, 1,402.51 and 523.54 is: 786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.14 : 1,402.51 = 523.54 : x
  2. Step 2: Convert to fraction form
    934.14/1,402.51 = 523.54/x
  3. Step 3: Cross multiply
    934.14x = 1,402.51 × 523.54
  4. Step 4: Simplify right side
    934.14x = 734,270.09
  5. Step 5: Solve for x
    x = 734,270.09/934.14
  6. Step 6: Final answer
    x = 786.04

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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.