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Finding the Fourth Proportional to 1,093.14, 1,506.84 and 871.74

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Solution

The fourth proportional to 1,093.14, 1,506.84 and 871.74 is: 1,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.14 : 1,506.84 = 871.74 : x
  2. Step 2: Convert to fraction form
    1,093.14/1,506.84 = 871.74/x
  3. Step 3: Cross multiply
    1,093.14x = 1,506.84 × 871.74
  4. Step 4: Simplify right side
    1,093.14x = 1,313,572.70
  5. Step 5: Solve for x
    x = 1,313,572.70/1,093.14
  6. Step 6: Final answer
    x = 1,201.65

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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.