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Finding the Fourth Proportional to 1,087, 1,628.97 and 470.23

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Solution

The fourth proportional to 1,087, 1,628.97 and 470.23 is: 704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087 : 1,628.97 = 470.23 : x
  2. Step 2: Convert to fraction form
    1,087/1,628.97 = 470.23/x
  3. Step 3: Cross multiply
    1,087x = 1,628.97 × 470.23
  4. Step 4: Simplify right side
    1,087x = 765,990.56
  5. Step 5: Solve for x
    x = 765,990.56/1,087
  6. Step 6: Final answer
    x = 704.68

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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.