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Finding the Fourth Proportional to 1,314.55, 1,812.66 and 894.97

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Solution

The fourth proportional to 1,314.55, 1,812.66 and 894.97 is: 1,234.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.55 : 1,812.66 = 894.97 : x
  2. Step 2: Convert to fraction form
    1,314.55/1,812.66 = 894.97/x
  3. Step 3: Cross multiply
    1,314.55x = 1,812.66 × 894.97
  4. Step 4: Simplify right side
    1,314.55x = 1,622,276.32
  5. Step 5: Solve for x
    x = 1,622,276.32/1,314.55
  6. Step 6: Final answer
    x = 1,234.09

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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.