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Finding the Fourth Proportional to 1,269.24, 1,905.60 and 653.46

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Solution

The fourth proportional to 1,269.24, 1,905.60 and 653.46 is: 981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.24 : 1,905.60 = 653.46 : x
  2. Step 2: Convert to fraction form
    1,269.24/1,905.60 = 653.46/x
  3. Step 3: Cross multiply
    1,269.24x = 1,905.60 × 653.46
  4. Step 4: Simplify right side
    1,269.24x = 1,245,233.38
  5. Step 5: Solve for x
    x = 1,245,233.38/1,269.24
  6. Step 6: Final answer
    x = 981.09

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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.