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Finding the Fourth Proportional to 1,304.87, 1,957.14 and 330.98

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Solution

The fourth proportional to 1,304.87, 1,957.14 and 330.98 is: 496.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.87 : 1,957.14 = 330.98 : x
  2. Step 2: Convert to fraction form
    1,304.87/1,957.14 = 330.98/x
  3. Step 3: Cross multiply
    1,304.87x = 1,957.14 × 330.98
  4. Step 4: Simplify right side
    1,304.87x = 647,774.20
  5. Step 5: Solve for x
    x = 647,774.20/1,304.87
  6. Step 6: Final answer
    x = 496.43

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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.