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Finding the Fourth Proportional to 1,172.18, 1,617.59 and 641.06

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Solution

The fourth proportional to 1,172.18, 1,617.59 and 641.06 is: 884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.18 : 1,617.59 = 641.06 : x
  2. Step 2: Convert to fraction form
    1,172.18/1,617.59 = 641.06/x
  3. Step 3: Cross multiply
    1,172.18x = 1,617.59 × 641.06
  4. Step 4: Simplify right side
    1,172.18x = 1,036,969.04
  5. Step 5: Solve for x
    x = 1,036,969.04/1,172.18
  6. Step 6: Final answer
    x = 884.65

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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.