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Finding the Fourth Proportional to 1,304.96, 1,957.44 and 331.06

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Solution

The fourth proportional to 1,304.96, 1,957.44 and 331.06 is: 496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.96 : 1,957.44 = 331.06 : x
  2. Step 2: Convert to fraction form
    1,304.96/1,957.44 = 331.06/x
  3. Step 3: Cross multiply
    1,304.96x = 1,957.44 × 331.06
  4. Step 4: Simplify right side
    1,304.96x = 648,030.09
  5. Step 5: Solve for x
    x = 648,030.09/1,304.96
  6. Step 6: Final answer
    x = 496.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.