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Finding the Fourth Proportional to 1,269.89, 1,905.05 and 392.38

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Solution

The fourth proportional to 1,269.89, 1,905.05 and 392.38 is: 588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.89 : 1,905.05 = 392.38 : x
  2. Step 2: Convert to fraction form
    1,269.89/1,905.05 = 392.38/x
  3. Step 3: Cross multiply
    1,269.89x = 1,905.05 × 392.38
  4. Step 4: Simplify right side
    1,269.89x = 747,499.74
  5. Step 5: Solve for x
    x = 747,499.74/1,269.89
  6. Step 6: Final answer
    x = 588.64

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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.