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Finding the Fourth Proportional to 1,052.40, 1,453.23 and 660.09

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Solution

The fourth proportional to 1,052.40, 1,453.23 and 660.09 is: 911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.40 : 1,453.23 = 660.09 : x
  2. Step 2: Convert to fraction form
    1,052.40/1,453.23 = 660.09/x
  3. Step 3: Cross multiply
    1,052.40x = 1,453.23 × 660.09
  4. Step 4: Simplify right side
    1,052.40x = 959,262.59
  5. Step 5: Solve for x
    x = 959,262.59/1,052.40
  6. Step 6: Final answer
    x = 911.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.