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Finding the Fourth Proportional to 1,304.01, 1,956.22 and 379.45

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Solution

The fourth proportional to 1,304.01, 1,956.22 and 379.45 is: 569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.01 : 1,956.22 = 379.45 : x
  2. Step 2: Convert to fraction form
    1,304.01/1,956.22 = 379.45/x
  3. Step 3: Cross multiply
    1,304.01x = 1,956.22 × 379.45
  4. Step 4: Simplify right side
    1,304.01x = 742,285.78
  5. Step 5: Solve for x
    x = 742,285.78/1,304.01
  6. Step 6: Final answer
    x = 569.23

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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.