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Finding the Fourth Proportional to 701.64, 1,052.52 and 412.56

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Solution

The fourth proportional to 701.64, 1,052.52 and 412.56 is: 618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.64 : 1,052.52 = 412.56 : x
  2. Step 2: Convert to fraction form
    701.64/1,052.52 = 412.56/x
  3. Step 3: Cross multiply
    701.64x = 1,052.52 × 412.56
  4. Step 4: Simplify right side
    701.64x = 434,227.65
  5. Step 5: Solve for x
    x = 434,227.65/701.64
  6. Step 6: Final answer
    x = 618.88

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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.