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Finding the Fourth Proportional to 1,116.45, 1,674.68 and 828.09

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Solution

The fourth proportional to 1,116.45, 1,674.68 and 828.09 is: 1,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.45 : 1,674.68 = 828.09 : x
  2. Step 2: Convert to fraction form
    1,116.45/1,674.68 = 828.09/x
  3. Step 3: Cross multiply
    1,116.45x = 1,674.68 × 828.09
  4. Step 4: Simplify right side
    1,116.45x = 1,386,789.95
  5. Step 5: Solve for x
    x = 1,386,789.95/1,116.45
  6. Step 6: Final answer
    x = 1,242.14

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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.