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Finding the Fourth Proportional to 615.62, 923.63 and 512.48

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Solution

The fourth proportional to 615.62, 923.63 and 512.48 is: 768.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.62 : 923.63 = 512.48 : x
  2. Step 2: Convert to fraction form
    615.62/923.63 = 512.48/x
  3. Step 3: Cross multiply
    615.62x = 923.63 × 512.48
  4. Step 4: Simplify right side
    615.62x = 473,334.72
  5. Step 5: Solve for x
    x = 473,334.72/615.62
  6. Step 6: Final answer
    x = 768.88

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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.