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Finding the Fourth Proportional to 1,174.84, 1,761.73 and 559.29

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Solution

The fourth proportional to 1,174.84, 1,761.73 and 559.29 is: 838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.84 : 1,761.73 = 559.29 : x
  2. Step 2: Convert to fraction form
    1,174.84/1,761.73 = 559.29/x
  3. Step 3: Cross multiply
    1,174.84x = 1,761.73 × 559.29
  4. Step 4: Simplify right side
    1,174.84x = 985,317.97
  5. Step 5: Solve for x
    x = 985,317.97/1,174.84
  6. Step 6: Final answer
    x = 838.68

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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.