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Finding the Fourth Proportional to 739.70, 1,023.09 and 653.30

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Solution

The fourth proportional to 739.70, 1,023.09 and 653.30 is: 903.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.70 : 1,023.09 = 653.30 : x
  2. Step 2: Convert to fraction form
    739.70/1,023.09 = 653.30/x
  3. Step 3: Cross multiply
    739.70x = 1,023.09 × 653.30
  4. Step 4: Simplify right side
    739.70x = 668,384.70
  5. Step 5: Solve for x
    x = 668,384.70/739.70
  6. Step 6: Final answer
    x = 903.59

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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.