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Finding the Fourth Proportional to 1,135.46, 1,701.27 and 809.18

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Solution

The fourth proportional to 1,135.46, 1,701.27 and 809.18 is: 1,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.46 : 1,701.27 = 809.18 : x
  2. Step 2: Convert to fraction form
    1,135.46/1,701.27 = 809.18/x
  3. Step 3: Cross multiply
    1,135.46x = 1,701.27 × 809.18
  4. Step 4: Simplify right side
    1,135.46x = 1,376,633.66
  5. Step 5: Solve for x
    x = 1,376,633.66/1,135.46
  6. Step 6: Final answer
    x = 1,212.40

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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.