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Finding the Fourth Proportional to 712.78, 983.82 and 464.72

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Solution

The fourth proportional to 712.78, 983.82 and 464.72 is: 641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.78 : 983.82 = 464.72 : x
  2. Step 2: Convert to fraction form
    712.78/983.82 = 464.72/x
  3. Step 3: Cross multiply
    712.78x = 983.82 × 464.72
  4. Step 4: Simplify right side
    712.78x = 457,200.83
  5. Step 5: Solve for x
    x = 457,200.83/712.78
  6. Step 6: Final answer
    x = 641.43

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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.