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Finding the Fourth Proportional to 1,171.80, 1,758.31 and 782.09

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Solution

The fourth proportional to 1,171.80, 1,758.31 and 782.09 is: 1,173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.80 : 1,758.31 = 782.09 : x
  2. Step 2: Convert to fraction form
    1,171.80/1,758.31 = 782.09/x
  3. Step 3: Cross multiply
    1,171.80x = 1,758.31 × 782.09
  4. Step 4: Simplify right side
    1,171.80x = 1,375,152.51
  5. Step 5: Solve for x
    x = 1,375,152.51/1,171.80
  6. Step 6: Final answer
    x = 1,173.54

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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.