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Finding the Fourth Proportional to 712.34, 983.01 and 464.12

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Solution

The fourth proportional to 712.34, 983.01 and 464.12 is: 640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.34 : 983.01 = 464.12 : x
  2. Step 2: Convert to fraction form
    712.34/983.01 = 464.12/x
  3. Step 3: Cross multiply
    712.34x = 983.01 × 464.12
  4. Step 4: Simplify right side
    712.34x = 456,239.34
  5. Step 5: Solve for x
    x = 456,239.34/712.34
  6. Step 6: Final answer
    x = 640.48

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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.