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Finding the Fourth Proportional to 1,227.63, 1,842.26 and 458.13

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Solution

The fourth proportional to 1,227.63, 1,842.26 and 458.13 is: 687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.63 : 1,842.26 = 458.13 : x
  2. Step 2: Convert to fraction form
    1,227.63/1,842.26 = 458.13/x
  3. Step 3: Cross multiply
    1,227.63x = 1,842.26 × 458.13
  4. Step 4: Simplify right side
    1,227.63x = 843,994.57
  5. Step 5: Solve for x
    x = 843,994.57/1,227.63
  6. Step 6: Final answer
    x = 687.50

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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.