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Finding the Fourth Proportional to 1,116.45, 1,674.63 and 811.89

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Solution

The fourth proportional to 1,116.45, 1,674.63 and 811.89 is: 1,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.45 : 1,674.63 = 811.89 : x
  2. Step 2: Convert to fraction form
    1,116.45/1,674.63 = 811.89/x
  3. Step 3: Cross multiply
    1,116.45x = 1,674.63 × 811.89
  4. Step 4: Simplify right side
    1,116.45x = 1,359,615.35
  5. Step 5: Solve for x
    x = 1,359,615.35/1,116.45
  6. Step 6: Final answer
    x = 1,217.80

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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.