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Finding the Fourth Proportional to 1,116.35, 1,675.11 and 810.73

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Solution

The fourth proportional to 1,116.35, 1,675.11 and 810.73 is: 1,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.35 : 1,675.11 = 810.73 : x
  2. Step 2: Convert to fraction form
    1,116.35/1,675.11 = 810.73/x
  3. Step 3: Cross multiply
    1,116.35x = 1,675.11 × 810.73
  4. Step 4: Simplify right side
    1,116.35x = 1,358,057.64
  5. Step 5: Solve for x
    x = 1,358,057.64/1,116.35
  6. Step 6: Final answer
    x = 1,216.52

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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.