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Finding the Fourth Proportional to 1,027.53, 1,537.92 and 782.73

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Solution

The fourth proportional to 1,027.53, 1,537.92 and 782.73 is: 1,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.53 : 1,537.92 = 782.73 : x
  2. Step 2: Convert to fraction form
    1,027.53/1,537.92 = 782.73/x
  3. Step 3: Cross multiply
    1,027.53x = 1,537.92 × 782.73
  4. Step 4: Simplify right side
    1,027.53x = 1,203,776.12
  5. Step 5: Solve for x
    x = 1,203,776.12/1,027.53
  6. Step 6: Final answer
    x = 1,171.52

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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.