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Finding the Fourth Proportional to 1,174.39, 1,619.54 and 876.35

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Solution

The fourth proportional to 1,174.39, 1,619.54 and 876.35 is: 1,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.39 : 1,619.54 = 876.35 : x
  2. Step 2: Convert to fraction form
    1,174.39/1,619.54 = 876.35/x
  3. Step 3: Cross multiply
    1,174.39x = 1,619.54 × 876.35
  4. Step 4: Simplify right side
    1,174.39x = 1,419,290.12
  5. Step 5: Solve for x
    x = 1,419,290.12/1,174.39
  6. Step 6: Final answer
    x = 1,208.54

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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.