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Finding the Fourth Proportional to 934.58, 1,399.36 and 522.54

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Solution

The fourth proportional to 934.58, 1,399.36 and 522.54 is: 782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.58 : 1,399.36 = 522.54 : x
  2. Step 2: Convert to fraction form
    934.58/1,399.36 = 522.54/x
  3. Step 3: Cross multiply
    934.58x = 1,399.36 × 522.54
  4. Step 4: Simplify right side
    934.58x = 731,220.27
  5. Step 5: Solve for x
    x = 731,220.27/934.58
  6. Step 6: Final answer
    x = 782.41

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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.