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Finding the Fourth Proportional to 1,227.07, 1,840.91 and 405.35

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Solution

The fourth proportional to 1,227.07, 1,840.91 and 405.35 is: 608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.07 : 1,840.91 = 405.35 : x
  2. Step 2: Convert to fraction form
    1,227.07/1,840.91 = 405.35/x
  3. Step 3: Cross multiply
    1,227.07x = 1,840.91 × 405.35
  4. Step 4: Simplify right side
    1,227.07x = 746,212.87
  5. Step 5: Solve for x
    x = 746,212.87/1,227.07
  6. Step 6: Final answer
    x = 608.13

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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.