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Finding the Fourth Proportional to 712.86, 983.41 and 464.09

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Solution

The fourth proportional to 712.86, 983.41 and 464.09 is: 640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.86 : 983.41 = 464.09 : x
  2. Step 2: Convert to fraction form
    712.86/983.41 = 464.09/x
  3. Step 3: Cross multiply
    712.86x = 983.41 × 464.09
  4. Step 4: Simplify right side
    712.86x = 456,387.13
  5. Step 5: Solve for x
    x = 456,387.13/712.86
  6. Step 6: Final answer
    x = 640.22

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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.