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Finding the Fourth Proportional to 1,786, 2,679 and 631.76

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Solution

The fourth proportional to 1,786, 2,679 and 631.76 is: 947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786 : 2,679 = 631.76 : x
  2. Step 2: Convert to fraction form
    1,786/2,679 = 631.76/x
  3. Step 3: Cross multiply
    1,786x = 2,679 × 631.76
  4. Step 4: Simplify right side
    1,786x = 1,692,485.04
  5. Step 5: Solve for x
    x = 1,692,485.04/1,786
  6. Step 6: Final answer
    x = 947.64

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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.