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Finding the Fourth Proportional to 1,336.87, 2,005.08 and 459.29

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Solution

The fourth proportional to 1,336.87, 2,005.08 and 459.29 is: 688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.87 : 2,005.08 = 459.29 : x
  2. Step 2: Convert to fraction form
    1,336.87/2,005.08 = 459.29/x
  3. Step 3: Cross multiply
    1,336.87x = 2,005.08 × 459.29
  4. Step 4: Simplify right side
    1,336.87x = 920,913.19
  5. Step 5: Solve for x
    x = 920,913.19/1,336.87
  6. Step 6: Final answer
    x = 688.86

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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.