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Finding the Fourth Proportional to 679, 937.02 and 472.12

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Solution

The fourth proportional to 679, 937.02 and 472.12 is: 651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    679 : 937.02 = 472.12 : x
  2. Step 2: Convert to fraction form
    679/937.02 = 472.12/x
  3. Step 3: Cross multiply
    679x = 937.02 × 472.12
  4. Step 4: Simplify right side
    679x = 442,385.88
  5. Step 5: Solve for x
    x = 442,385.88/679
  6. Step 6: Final answer
    x = 651.53

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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.