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Finding the Fourth Proportional to 934.64, 1,401.92 and 495.21

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Solution

The fourth proportional to 934.64, 1,401.92 and 495.21 is: 742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.64 : 1,401.92 = 495.21 : x
  2. Step 2: Convert to fraction form
    934.64/1,401.92 = 495.21/x
  3. Step 3: Cross multiply
    934.64x = 1,401.92 × 495.21
  4. Step 4: Simplify right side
    934.64x = 694,242.33
  5. Step 5: Solve for x
    x = 694,242.33/934.64
  6. Step 6: Final answer
    x = 742.80

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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.