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Finding the Fourth Proportional to 1,191.10, 1,641.68 and 817.42

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Solution

The fourth proportional to 1,191.10, 1,641.68 and 817.42 is: 1,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.10 : 1,641.68 = 817.42 : x
  2. Step 2: Convert to fraction form
    1,191.10/1,641.68 = 817.42/x
  3. Step 3: Cross multiply
    1,191.10x = 1,641.68 × 817.42
  4. Step 4: Simplify right side
    1,191.10x = 1,341,942.07
  5. Step 5: Solve for x
    x = 1,341,942.07/1,191.10
  6. Step 6: Final answer
    x = 1,126.64

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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.