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Finding the Fourth Proportional to 839.97, 1,159.14 and 466.94

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Solution

The fourth proportional to 839.97, 1,159.14 and 466.94 is: 644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.97 : 1,159.14 = 466.94 : x
  2. Step 2: Convert to fraction form
    839.97/1,159.14 = 466.94/x
  3. Step 3: Cross multiply
    839.97x = 1,159.14 × 466.94
  4. Step 4: Simplify right side
    839.97x = 541,243.04
  5. Step 5: Solve for x
    x = 541,243.04/839.97
  6. Step 6: Final answer
    x = 644.36

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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.