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Finding the Fourth Proportional to 1,304.21, 1,956.33 and 379.78

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Solution

The fourth proportional to 1,304.21, 1,956.33 and 379.78 is: 569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.21 : 1,956.33 = 379.78 : x
  2. Step 2: Convert to fraction form
    1,304.21/1,956.33 = 379.78/x
  3. Step 3: Cross multiply
    1,304.21x = 1,956.33 × 379.78
  4. Step 4: Simplify right side
    1,304.21x = 742,970.12
  5. Step 5: Solve for x
    x = 742,970.12/1,304.21
  6. Step 6: Final answer
    x = 569.67

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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.