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Finding the Fourth Proportional to 669.48, 923.40 and 614.40

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Solution

The fourth proportional to 669.48, 923.40 and 614.40 is: 847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.48 : 923.40 = 614.40 : x
  2. Step 2: Convert to fraction form
    669.48/923.40 = 614.40/x
  3. Step 3: Cross multiply
    669.48x = 923.40 × 614.40
  4. Step 4: Simplify right side
    669.48x = 567,336.96
  5. Step 5: Solve for x
    x = 567,336.96/669.48
  6. Step 6: Final answer
    x = 847.43

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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.