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Finding the Fourth Proportional to 1,227.76, 1,841.93 and 406.03

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Solution

The fourth proportional to 1,227.76, 1,841.93 and 406.03 is: 609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.76 : 1,841.93 = 406.03 : x
  2. Step 2: Convert to fraction form
    1,227.76/1,841.93 = 406.03/x
  3. Step 3: Cross multiply
    1,227.76x = 1,841.93 × 406.03
  4. Step 4: Simplify right side
    1,227.76x = 747,876.81
  5. Step 5: Solve for x
    x = 747,876.81/1,227.76
  6. Step 6: Final answer
    x = 609.14

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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.