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Finding the Fourth Proportional to 1,172.97, 1,618.72 and 641.86

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Solution

The fourth proportional to 1,172.97, 1,618.72 and 641.86 is: 885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.97 : 1,618.72 = 641.86 : x
  2. Step 2: Convert to fraction form
    1,172.97/1,618.72 = 641.86/x
  3. Step 3: Cross multiply
    1,172.97x = 1,618.72 × 641.86
  4. Step 4: Simplify right side
    1,172.97x = 1,038,995.50
  5. Step 5: Solve for x
    x = 1,038,995.50/1,172.97
  6. Step 6: Final answer
    x = 885.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.