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Finding the Fourth Proportional to 914.93, 1,363.69 and 863.03

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Solution

The fourth proportional to 914.93, 1,363.69 and 863.03 is: 1,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.93 : 1,363.69 = 863.03 : x
  2. Step 2: Convert to fraction form
    914.93/1,363.69 = 863.03/x
  3. Step 3: Cross multiply
    914.93x = 1,363.69 × 863.03
  4. Step 4: Simplify right side
    914.93x = 1,176,903.14
  5. Step 5: Solve for x
    x = 1,176,903.14/914.93
  6. Step 6: Final answer
    x = 1,286.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.