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Finding the Fourth Proportional to 1,091.51, 1,636.71 and 398.02

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Solution

The fourth proportional to 1,091.51, 1,636.71 and 398.02 is: 596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.51 : 1,636.71 = 398.02 : x
  2. Step 2: Convert to fraction form
    1,091.51/1,636.71 = 398.02/x
  3. Step 3: Cross multiply
    1,091.51x = 1,636.71 × 398.02
  4. Step 4: Simplify right side
    1,091.51x = 651,443.31
  5. Step 5: Solve for x
    x = 651,443.31/1,091.51
  6. Step 6: Final answer
    x = 596.83

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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.