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Finding the Fourth Proportional to 1,171.14, 1,754.01 and 824.82

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Solution

The fourth proportional to 1,171.14, 1,754.01 and 824.82 is: 1,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.14 : 1,754.01 = 824.82 : x
  2. Step 2: Convert to fraction form
    1,171.14/1,754.01 = 824.82/x
  3. Step 3: Cross multiply
    1,171.14x = 1,754.01 × 824.82
  4. Step 4: Simplify right side
    1,171.14x = 1,446,742.53
  5. Step 5: Solve for x
    x = 1,446,742.53/1,171.14
  6. Step 6: Final answer
    x = 1,235.33

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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.