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Finding the Fourth Proportional to 1,304.02, 1,956.07 and 438.34

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Solution

The fourth proportional to 1,304.02, 1,956.07 and 438.34 is: 657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.02 : 1,956.07 = 438.34 : x
  2. Step 2: Convert to fraction form
    1,304.02/1,956.07 = 438.34/x
  3. Step 3: Cross multiply
    1,304.02x = 1,956.07 × 438.34
  4. Step 4: Simplify right side
    1,304.02x = 857,423.72
  5. Step 5: Solve for x
    x = 857,423.72/1,304.02
  6. Step 6: Final answer
    x = 657.52

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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.