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Finding the Fourth Proportional to 1,314.61, 1,812.33 and 894.31

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Solution

The fourth proportional to 1,314.61, 1,812.33 and 894.31 is: 1,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.61 : 1,812.33 = 894.31 : x
  2. Step 2: Convert to fraction form
    1,314.61/1,812.33 = 894.31/x
  3. Step 3: Cross multiply
    1,314.61x = 1,812.33 × 894.31
  4. Step 4: Simplify right side
    1,314.61x = 1,620,784.84
  5. Step 5: Solve for x
    x = 1,620,784.84/1,314.61
  6. Step 6: Final answer
    x = 1,232.90

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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.