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Finding the Fourth Proportional to 1,150.82, 1,726.26 and 285.12

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Solution

The fourth proportional to 1,150.82, 1,726.26 and 285.12 is: 427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.82 : 1,726.26 = 285.12 : x
  2. Step 2: Convert to fraction form
    1,150.82/1,726.26 = 285.12/x
  3. Step 3: Cross multiply
    1,150.82x = 1,726.26 × 285.12
  4. Step 4: Simplify right side
    1,150.82x = 492,191.25
  5. Step 5: Solve for x
    x = 492,191.25/1,150.82
  6. Step 6: Final answer
    x = 427.69

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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.