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Finding the Fourth Proportional to 1,304.37, 1,956.35 and 573.81

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Solution

The fourth proportional to 1,304.37, 1,956.35 and 573.81 is: 860.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.37 : 1,956.35 = 573.81 : x
  2. Step 2: Convert to fraction form
    1,304.37/1,956.35 = 573.81/x
  3. Step 3: Cross multiply
    1,304.37x = 1,956.35 × 573.81
  4. Step 4: Simplify right side
    1,304.37x = 1,122,570.32
  5. Step 5: Solve for x
    x = 1,122,570.32/1,304.37
  6. Step 6: Final answer
    x = 860.62

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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.