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Finding the Fourth Proportional to 669.36, 923.06 and 521.94

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Solution

The fourth proportional to 669.36, 923.06 and 521.94 is: 719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.36 : 923.06 = 521.94 : x
  2. Step 2: Convert to fraction form
    669.36/923.06 = 521.94/x
  3. Step 3: Cross multiply
    669.36x = 923.06 × 521.94
  4. Step 4: Simplify right side
    669.36x = 481,781.94
  5. Step 5: Solve for x
    x = 481,781.94/669.36
  6. Step 6: Final answer
    x = 719.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.