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Finding the Fourth Proportional to 1,470.73, 2,206.02 and 739.75

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Solution

The fourth proportional to 1,470.73, 2,206.02 and 739.75 is: 1,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.73 : 2,206.02 = 739.75 : x
  2. Step 2: Convert to fraction form
    1,470.73/2,206.02 = 739.75/x
  3. Step 3: Cross multiply
    1,470.73x = 2,206.02 × 739.75
  4. Step 4: Simplify right side
    1,470.73x = 1,631,903.30
  5. Step 5: Solve for x
    x = 1,631,903.30/1,470.73
  6. Step 6: Final answer
    x = 1,109.59

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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.