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Finding the Fourth Proportional to 1,171, 1,615.83 and 699.09

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Solution

The fourth proportional to 1,171, 1,615.83 and 699.09 is: 964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171 : 1,615.83 = 699.09 : x
  2. Step 2: Convert to fraction form
    1,171/1,615.83 = 699.09/x
  3. Step 3: Cross multiply
    1,171x = 1,615.83 × 699.09
  4. Step 4: Simplify right side
    1,171x = 1,129,599.02
  5. Step 5: Solve for x
    x = 1,129,599.02/1,171
  6. Step 6: Final answer
    x = 964.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.