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Finding the Fourth Proportional to 1,269.46, 1,904.55 and 403.84

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Solution

The fourth proportional to 1,269.46, 1,904.55 and 403.84 is: 605.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.46 : 1,904.55 = 403.84 : x
  2. Step 2: Convert to fraction form
    1,269.46/1,904.55 = 403.84/x
  3. Step 3: Cross multiply
    1,269.46x = 1,904.55 × 403.84
  4. Step 4: Simplify right side
    1,269.46x = 769,133.47
  5. Step 5: Solve for x
    x = 769,133.47/1,269.46
  6. Step 6: Final answer
    x = 605.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.