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Finding the Fourth Proportional to 1,336.40, 2,004.62 and 470.72

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Solution

The fourth proportional to 1,336.40, 2,004.62 and 470.72 is: 706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.40 : 2,004.62 = 470.72 : x
  2. Step 2: Convert to fraction form
    1,336.40/2,004.62 = 470.72/x
  3. Step 3: Cross multiply
    1,336.40x = 2,004.62 × 470.72
  4. Step 4: Simplify right side
    1,336.40x = 943,614.73
  5. Step 5: Solve for x
    x = 943,614.73/1,336.40
  6. Step 6: Final answer
    x = 706.09

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