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Finding the Fourth Proportional to 1,226.10, 1,838.70 and 404.16

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Solution

The fourth proportional to 1,226.10, 1,838.70 and 404.16 is: 606.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.10 : 1,838.70 = 404.16 : x
  2. Step 2: Convert to fraction form
    1,226.10/1,838.70 = 404.16/x
  3. Step 3: Cross multiply
    1,226.10x = 1,838.70 × 404.16
  4. Step 4: Simplify right side
    1,226.10x = 743,122.10
  5. Step 5: Solve for x
    x = 743,122.10/1,226.10
  6. Step 6: Final answer
    x = 606.08

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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.