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Finding the Fourth Proportional to 1,227.31, 1,840.91 and 302.86

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Solution

The fourth proportional to 1,227.31, 1,840.91 and 302.86 is: 454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.31 : 1,840.91 = 302.86 : x
  2. Step 2: Convert to fraction form
    1,227.31/1,840.91 = 302.86/x
  3. Step 3: Cross multiply
    1,227.31x = 1,840.91 × 302.86
  4. Step 4: Simplify right side
    1,227.31x = 557,538.00
  5. Step 5: Solve for x
    x = 557,538.00/1,227.31
  6. Step 6: Final answer
    x = 454.28

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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.