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Finding the Fourth Proportional to 1,269.86, 1,903.26 and 653.85

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Solution

The fourth proportional to 1,269.86, 1,903.26 and 653.85 is: 979.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.86 : 1,903.26 = 653.85 : x
  2. Step 2: Convert to fraction form
    1,269.86/1,903.26 = 653.85/x
  3. Step 3: Cross multiply
    1,269.86x = 1,903.26 × 653.85
  4. Step 4: Simplify right side
    1,269.86x = 1,244,446.55
  5. Step 5: Solve for x
    x = 1,244,446.55/1,269.86
  6. Step 6: Final answer
    x = 979.99

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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.