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Finding the Fourth Proportional to 839.41, 1,158.44 and 466.46

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Solution

The fourth proportional to 839.41, 1,158.44 and 466.46 is: 643.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.41 : 1,158.44 = 466.46 : x
  2. Step 2: Convert to fraction form
    839.41/1,158.44 = 466.46/x
  3. Step 3: Cross multiply
    839.41x = 1,158.44 × 466.46
  4. Step 4: Simplify right side
    839.41x = 540,361.30
  5. Step 5: Solve for x
    x = 540,361.30/839.41
  6. Step 6: Final answer
    x = 643.74

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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.