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Finding the Fourth Proportional to 1,151.31, 1,726.97 and 285.62

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Solution

The fourth proportional to 1,151.31, 1,726.97 and 285.62 is: 428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.31 : 1,726.97 = 285.62 : x
  2. Step 2: Convert to fraction form
    1,151.31/1,726.97 = 285.62/x
  3. Step 3: Cross multiply
    1,151.31x = 1,726.97 × 285.62
  4. Step 4: Simplify right side
    1,151.31x = 493,247.11
  5. Step 5: Solve for x
    x = 493,247.11/1,151.31
  6. Step 6: Final answer
    x = 428.42

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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.