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Finding the Fourth Proportional to 1,226, 1,838.55 and 404.03

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Solution

The fourth proportional to 1,226, 1,838.55 and 404.03 is: 605.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226 : 1,838.55 = 404.03 : x
  2. Step 2: Convert to fraction form
    1,226/1,838.55 = 404.03/x
  3. Step 3: Cross multiply
    1,226x = 1,838.55 × 404.03
  4. Step 4: Simplify right side
    1,226x = 742,829.36
  5. Step 5: Solve for x
    x = 742,829.36/1,226
  6. Step 6: Final answer
    x = 605.90

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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.