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Finding the Fourth Proportional to 939.97, 1,409.50 and 453.16

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Solution

The fourth proportional to 939.97, 1,409.50 and 453.16 is: 679.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.97 : 1,409.50 = 453.16 : x
  2. Step 2: Convert to fraction form
    939.97/1,409.50 = 453.16/x
  3. Step 3: Cross multiply
    939.97x = 1,409.50 × 453.16
  4. Step 4: Simplify right side
    939.97x = 638,729.02
  5. Step 5: Solve for x
    x = 638,729.02/939.97
  6. Step 6: Final answer
    x = 679.52

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Why These Related Problems?

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