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Finding the Fourth Proportional to 1,269.54, 1,904.34 and 403.86

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Solution

The fourth proportional to 1,269.54, 1,904.34 and 403.86 is: 605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.54 : 1,904.34 = 403.86 : x
  2. Step 2: Convert to fraction form
    1,269.54/1,904.34 = 403.86/x
  3. Step 3: Cross multiply
    1,269.54x = 1,904.34 × 403.86
  4. Step 4: Simplify right side
    1,269.54x = 769,086.75
  5. Step 5: Solve for x
    x = 769,086.75/1,269.54
  6. Step 6: Final answer
    x = 605.80

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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.