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Finding the Fourth Proportional to 1,269.96, 1,905.30 and 404.34

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Solution

The fourth proportional to 1,269.96, 1,905.30 and 404.34 is: 606.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.96 : 1,905.30 = 404.34 : x
  2. Step 2: Convert to fraction form
    1,269.96/1,905.30 = 404.34/x
  3. Step 3: Cross multiply
    1,269.96x = 1,905.30 × 404.34
  4. Step 4: Simplify right side
    1,269.96x = 770,389.00
  5. Step 5: Solve for x
    x = 770,389.00/1,269.96
  6. Step 6: Final answer
    x = 606.62

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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.