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Finding the Fourth Proportional to 1,336.58, 2,005.30 and 634.09

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Solution

The fourth proportional to 1,336.58, 2,005.30 and 634.09 is: 951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.58 : 2,005.30 = 634.09 : x
  2. Step 2: Convert to fraction form
    1,336.58/2,005.30 = 634.09/x
  3. Step 3: Cross multiply
    1,336.58x = 2,005.30 × 634.09
  4. Step 4: Simplify right side
    1,336.58x = 1,271,536.46
  5. Step 5: Solve for x
    x = 1,271,536.46/1,336.58
  6. Step 6: Final answer
    x = 951.34

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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.