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Finding the Fourth Proportional to 1,175.82, 1,762.41 and 559.02

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Solution

The fourth proportional to 1,175.82, 1,762.41 and 559.02 is: 837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.82 : 1,762.41 = 559.02 : x
  2. Step 2: Convert to fraction form
    1,175.82/1,762.41 = 559.02/x
  3. Step 3: Cross multiply
    1,175.82x = 1,762.41 × 559.02
  4. Step 4: Simplify right side
    1,175.82x = 985,222.44
  5. Step 5: Solve for x
    x = 985,222.44/1,175.82
  6. Step 6: Final answer
    x = 837.90

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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.