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Finding the Fourth Proportional to 1,282.32, 1,923.72 and 512.88

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Solution

The fourth proportional to 1,282.32, 1,923.72 and 512.88 is: 769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.32 : 1,923.72 = 512.88 : x
  2. Step 2: Convert to fraction form
    1,282.32/1,923.72 = 512.88/x
  3. Step 3: Cross multiply
    1,282.32x = 1,923.72 × 512.88
  4. Step 4: Simplify right side
    1,282.32x = 986,637.51
  5. Step 5: Solve for x
    x = 986,637.51/1,282.32
  6. Step 6: Final answer
    x = 769.42

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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.