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Finding the Fourth Proportional to 1,171.97, 1,758.29 and 350.27

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Solution

The fourth proportional to 1,171.97, 1,758.29 and 350.27 is: 525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.97 : 1,758.29 = 350.27 : x
  2. Step 2: Convert to fraction form
    1,171.97/1,758.29 = 350.27/x
  3. Step 3: Cross multiply
    1,171.97x = 1,758.29 × 350.27
  4. Step 4: Simplify right side
    1,171.97x = 615,878.88
  5. Step 5: Solve for x
    x = 615,878.88/1,171.97
  6. Step 6: Final answer
    x = 525.51

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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.