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Finding the Fourth Proportional to 1,336.64, 2,004.18 and 458.70

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Solution

The fourth proportional to 1,336.64, 2,004.18 and 458.70 is: 687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.64 : 2,004.18 = 458.70 : x
  2. Step 2: Convert to fraction form
    1,336.64/2,004.18 = 458.70/x
  3. Step 3: Cross multiply
    1,336.64x = 2,004.18 × 458.70
  4. Step 4: Simplify right side
    1,336.64x = 919,308.13
  5. Step 5: Solve for x
    x = 919,308.13/1,336.64
  6. Step 6: Final answer
    x = 687.78

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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.