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Finding the Fourth Proportional to 1,201.28, 1,658.16 and 729.54

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Solution

The fourth proportional to 1,201.28, 1,658.16 and 729.54 is: 1,007.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.28 : 1,658.16 = 729.54 : x
  2. Step 2: Convert to fraction form
    1,201.28/1,658.16 = 729.54/x
  3. Step 3: Cross multiply
    1,201.28x = 1,658.16 × 729.54
  4. Step 4: Simplify right side
    1,201.28x = 1,209,694.05
  5. Step 5: Solve for x
    x = 1,209,694.05/1,201.28
  6. Step 6: Final answer
    x = 1,007.00

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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.