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Finding the Fourth Proportional to 1,304.10, 1,956.03 and 438.42

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Solution

The fourth proportional to 1,304.10, 1,956.03 and 438.42 is: 657.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.10 : 1,956.03 = 438.42 : x
  2. Step 2: Convert to fraction form
    1,304.10/1,956.03 = 438.42/x
  3. Step 3: Cross multiply
    1,304.10x = 1,956.03 × 438.42
  4. Step 4: Simplify right side
    1,304.10x = 857,562.67
  5. Step 5: Solve for x
    x = 857,562.67/1,304.10
  6. Step 6: Final answer
    x = 657.59

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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.