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Finding the Fourth Proportional to 669.49, 999.25 and 653.09

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Solution

The fourth proportional to 669.49, 999.25 and 653.09 is: 974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.49 : 999.25 = 653.09 : x
  2. Step 2: Convert to fraction form
    669.49/999.25 = 653.09/x
  3. Step 3: Cross multiply
    669.49x = 999.25 × 653.09
  4. Step 4: Simplify right side
    669.49x = 652,593.55
  5. Step 5: Solve for x
    x = 652,593.55/669.49
  6. Step 6: Final answer
    x = 974.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.