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Finding the Fourth Proportional to 669.02, 1,004.25 and 495.14

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Solution

The fourth proportional to 669.02, 1,004.25 and 495.14 is: 743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.02 : 1,004.25 = 495.14 : x
  2. Step 2: Convert to fraction form
    669.02/1,004.25 = 495.14/x
  3. Step 3: Cross multiply
    669.02x = 1,004.25 × 495.14
  4. Step 4: Simplify right side
    669.02x = 497,244.35
  5. Step 5: Solve for x
    x = 497,244.35/669.02
  6. Step 6: Final answer
    x = 743.24

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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.