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Finding the Fourth Proportional to 1,091.58, 1,636.89 and 398.01

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Solution

The fourth proportional to 1,091.58, 1,636.89 and 398.01 is: 596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.58 : 1,636.89 = 398.01 : x
  2. Step 2: Convert to fraction form
    1,091.58/1,636.89 = 398.01/x
  3. Step 3: Cross multiply
    1,091.58x = 1,636.89 × 398.01
  4. Step 4: Simplify right side
    1,091.58x = 651,498.59
  5. Step 5: Solve for x
    x = 651,498.59/1,091.58
  6. Step 6: Final answer
    x = 596.84

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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.