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Finding the Fourth Proportional to 934.22, 1,401.36 and 523.04

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Solution

The fourth proportional to 934.22, 1,401.36 and 523.04 is: 784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.22 : 1,401.36 = 523.04 : x
  2. Step 2: Convert to fraction form
    934.22/1,401.36 = 523.04/x
  3. Step 3: Cross multiply
    934.22x = 1,401.36 × 523.04
  4. Step 4: Simplify right side
    934.22x = 732,967.33
  5. Step 5: Solve for x
    x = 732,967.33/934.22
  6. Step 6: Final answer
    x = 784.58

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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.