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Finding the Fourth Proportional to 1,191.12, 1,642.15 and 817.96

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Solution

The fourth proportional to 1,191.12, 1,642.15 and 817.96 is: 1,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.12 : 1,642.15 = 817.96 : x
  2. Step 2: Convert to fraction form
    1,191.12/1,642.15 = 817.96/x
  3. Step 3: Cross multiply
    1,191.12x = 1,642.15 × 817.96
  4. Step 4: Simplify right side
    1,191.12x = 1,343,200.71
  5. Step 5: Solve for x
    x = 1,343,200.71/1,191.12
  6. Step 6: Final answer
    x = 1,127.68

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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.