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Finding the Fourth Proportional to 1,175.94, 1,763.46 and 559.17

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Solution

The fourth proportional to 1,175.94, 1,763.46 and 559.17 is: 838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.94 : 1,763.46 = 559.17 : x
  2. Step 2: Convert to fraction form
    1,175.94/1,763.46 = 559.17/x
  3. Step 3: Cross multiply
    1,175.94x = 1,763.46 × 559.17
  4. Step 4: Simplify right side
    1,175.94x = 986,073.93
  5. Step 5: Solve for x
    x = 986,073.93/1,175.94
  6. Step 6: Final answer
    x = 838.54

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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.