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Finding the Fourth Proportional to 1,091.46, 1,636.79 and 397.90

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Solution

The fourth proportional to 1,091.46, 1,636.79 and 397.90 is: 596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.46 : 1,636.79 = 397.90 : x
  2. Step 2: Convert to fraction form
    1,091.46/1,636.79 = 397.90/x
  3. Step 3: Cross multiply
    1,091.46x = 1,636.79 × 397.90
  4. Step 4: Simplify right side
    1,091.46x = 651,278.74
  5. Step 5: Solve for x
    x = 651,278.74/1,091.46
  6. Step 6: Final answer
    x = 596.70

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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.