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Finding the Fourth Proportional to 1,304.92, 1,956.16 and 438.64

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Solution

The fourth proportional to 1,304.92, 1,956.16 and 438.64 is: 657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.92 : 1,956.16 = 438.64 : x
  2. Step 2: Convert to fraction form
    1,304.92/1,956.16 = 438.64/x
  3. Step 3: Cross multiply
    1,304.92x = 1,956.16 × 438.64
  4. Step 4: Simplify right side
    1,304.92x = 858,050.02
  5. Step 5: Solve for x
    x = 858,050.02/1,304.92
  6. Step 6: Final answer
    x = 657.55

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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.