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Finding the Fourth Proportional to 1,304.76, 1,956.48 and 438.76

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Solution

The fourth proportional to 1,304.76, 1,956.48 and 438.76 is: 657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.76 : 1,956.48 = 438.76 : x
  2. Step 2: Convert to fraction form
    1,304.76/1,956.48 = 438.76/x
  3. Step 3: Cross multiply
    1,304.76x = 1,956.48 × 438.76
  4. Step 4: Simplify right side
    1,304.76x = 858,425.16
  5. Step 5: Solve for x
    x = 858,425.16/1,304.76
  6. Step 6: Final answer
    x = 657.92

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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.